### - Publications

Book mark: Book chapters | Journal articles | Conference proceedings | Invited talks | Patents | Technical reports

## Serial Journal Articles:

[81] J. Yan and D. Jiao, "An Unsymmetric FDTD Subgridding Algorithm with Unconditional Stability," DOI (identifier) 10.1109/TAP.2018.2835561, accepted for publication, IEEE Transactions on Antennas and Propagation, 2018.

[80] W. Lee and D. Jiao, "An Alternative Explicit and Unconditionally Stable Time-Domain Finite-Element Method for Electromagnetic Analysis," DOI (identifier) 10.1109/JMMCT.2018.2814480, accepted for publication, IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2018.

[79] J. Yan and D. Jiao, "Symmetric Positive Semi-Definite FDTD Subgridding Algorithms for Arbitrary Grid Ratios Without Compromising Accuracy," IEEE Trans. Microw. Theory Tech., vol. 65, no. 12, pp. 5084-5095, Dec. 2017.

[78] M. Ma and D. Jiao, "Accuracy Directly Controlled Fast Direct Solution of General ${\cal H}^2$-Matrices and Its Application to Solving Electrodynamic Volume Integral Equations," IEEE Trans. Microw. Theory Tech., vol. 66, no. 1, pp. 35-48, Jan. 2018.

[77] S. Omar, M. Ma and D. Jiao, "Low-Complexity Direct and Iterative Volume Integral Equation Solvers with a Minimal-Rank ${\cal H}^2$-Representation for Large-Scale $3$-D Electrodynamic Analysis," accepted for publication, IEEE Journal on Multiscale and Multiphysics Computational Techniques, Oct. 2017.

[76] D. Jiao and J. Zhu, "Fast Method for Accurate and Efficient Nonlinear Signaling Analysis," IEEE Transactions on Electromagnetic Compatibility, vol. 59, no. 4, pp. 1312-1319, Aug. 2017.

[75] J. Yan and D. Jiao, "Fast Explicit and Unconditionally Stable FDTD Method for Electromagnetic Analysis," accepted for publication, IEEE Trans. MTT, April 2017.

[74] J. Yan and D. Jiao, "Time-Domain Method Having a Naturally Diagonal Mass Matrix Independent of Element Shape for General Electromagnetic Analysis --- 2-D Formulations," IEEE Trans. Antennas Propagat., vol. 65, no. 3, pp. 1202-1214, Mar. 2017.

[73] J. Yan and D. Jiao, "Matrix-Free Time-Domain Method for General Electromagnetic Analysis in 3-D Unstructured Meshes --- Modified Basis Formulation," IEEE Trans. Microw. Theory Tech., vol. 64, no. 8, pp. 2371-2382, 2016.

[72] J. Yan and D. Jiao, "Accurate and Stable Matrix-Free Time-Domain Method in 3-D Unstructured Meshes for General Electromagnetic Analysis," IEEE Trans. Microw. Theory Tech., vol. 63, no. 12, pp. 4201-4214, Dec. 2015.

[71] M. Gaffar and D. Jiao, "Alternative Method for Making Explicit FDTD Unconditionally Stable," IEEE Trans. Microw. Theory Tech., vol. 63, no. 12, pp. 4215-4224, Dec. 2015.

[70] B. Zhou and D. Jiao, "Direct Finite Element Solver of Linear Complexity for Large-Scale 3-D Electromagnetic Analysis and Circuit Extraction," IEEE Trans. Microw. Theory Tech., vol. 63, no. 10, pp. 3066-3080, Oct. 2015.

[69] W. Lee and D. Jiao, "Fast Structure-Aware Direct Time-Domain Finite Element Solver for the Analysis of Large-Scale On-Chip Circuits," IEEE Trans. Components, Packaging and Manufacturing Tech., vol. 5, no. 10, pp. 1477-1487, Oct. 2015.

[68] M. Gaffar and D. Jiao, "An Explicit and Unconditionally Stable FDTD Method for the Analysis of General 3-D Lossy Problems," IEEE Trans. Antennas Propagat., vol. 63, no. 9, pp. 4003-4015, Sept. 2015.

[67] S. Omar and D. Jiao, "A Linear Complexity Direct Volume Integral Equation Solver for Full-wave 3-D Circuit Extraction in Inhomogeneous Materials," IEEE Trans. Microw. Theory Tech., vol. 63, no. 3, pp. 897-912, Mar. 2015.

[58] F. Sheng and D. Jiao, "A Deterministic-Solution Based Fast Eigenvalue Solver with Guaranteed Convergence for Finite-Element Based 3-D Electromagnetic Analysis," IEEE Trans. Antennas Propagat., vol. 61, no. 7, pp. 3701-3711, July 2013.

[57] H. Liu and D. Jiao, "Layered H-Matrix Based Inverse and LU Algorithms for Fast Direct Finite-Element-Based Computation of Electromagnetic Problems," IEEE Trans. Antennas Propagat., vol. 61, no. 3, pp. 1273 - 1284, 2013.

[56] W. Chai and D. Jiao, "A Fast H-Matrix Based Direct Integral Equation Solver with Reduced Computational Cost for Large-Scale Interconnect Extraction," IEEE Trans. on Components, Packaging, and Manufacturing Technology, vol. 3, no. 2, pp. 289 - 298, 2013.

[55] D. Chen and D. Jiao, "A Direct Domain-Decomposition Based Time-Domain Finite-Element Method of Linear Complexity for Simulating Multiscaled Structures in Integrated Circuit Systems," vol. 60, no. 11, pp. 5228 - 5239, IEEE Trans. Antennas Propagat., 2012.

[54] Q. He, H. Gan, and D. Jiao, "Explicit Time-Domain Finite-Element Method Stabilized for an Arbitrarily Large Time Step," vol. 60, no. 11, pp. 5240 - 5250, IEEE Trans. Antennas and Propagation, 2012. (S. A. Schelkunoff Prize Paper Award of the IEEE Antennas and Propagation Society)

[53] J. Zhu and D. Jiao, "A Fast Full-Wave Solution that Eliminates the Low-Frequency Breakdown Problem in a Reduced System of Order One," IEEE Trans. on Components, Packaging, and Manufacturing Technology, vol. 2, no. 11, pp. 1871 - 1881, 2012.

[52] W. Chai and D. Jiao, "Direct Matrix Solution of Linear Complexity for Surface Integral-Equation Based Impedance Extraction of Complicated 3-D Structures," invited paper, Proceedings of the IEEE, Special Issue on "Large Scale Electromagnetic Computation for Modeling and Applications," vol. 101, no. 2, pp. 372-388, Feb. 2013.

[50] J. Zhu and D. Jiao, "A Rigorous Solution to the Low-Frequency Breakdown in Full-Wave Finite-Element-Based Analysis of General Problems Involving Inhomogeneous Lossless/Lossy Dielectrics and Non-ideal Conductors," IEEE Trans. MTT, vol. 59, no. 12, pp. 3294-3306, Dec. 2011.

[49] J. Lee, D. Chen, V. Balakrishnan, C.-K. Koh, and D. Jiao, "A Quadratic Eigenvalue Solver of Linear Complexity for 3-D Electromagnetics-Based Analysis of Large-Scale Integrated Circuits," IEEE Transactions on Computer Aided Design of Integrated Circuits and Systems, vol. 31, no. 3, pp. 380-390, Mar. 2012.

[48] W. Chai and D. Jiao, "Dense Matrix Inversion of Linear Complexity for Integral-Equation Based 3-D Capacitance Extraction," IEEE Trans. MTT, vol. 59, no. 10, pp. 2404-2421, Oct. 2011.

[46] H. Liu and D. Jiao, "Existence of H-matrix Representations of the Inverse Finite-Element Matrix of Electrodynamic Problems and H-Based Fast Direct Finite-Element Solvers," vol. 58, no. 12, pp. 3697-3709, IEEE Trans. MTT, 2010.

[45] W. Chai and D. Jiao, "An LU Decomposition Based Direct Integral Equation Solver of Linear Complexity and Higher-Order Accuracy for Large-Scale Interconnect Extraction," vol. 33, no. 4, pp. 794-803, IEEE Trans. Advanced Packaging, 2010.

[44] W. Chai and D. Jiao, "H- and H2-Matrix-Based Fast Integral-Equation Solvers for Large-Scale Electromagnetic Analysis," vol. 4, no. 10, pp. 1583-1596, IET Microwaves, Antennas & Propagation, 2010.

[42] J. Zhu and D. Jiao, "Eliminating the Low-Frequency Breakdown Problem in 3-D Full-Wave Finite-Element-Based Analysis of Integrated Circuits," vol. 58, no. 10, pp. 2633-2645, IEEE Trans. MTT, Oct. 2010.

[41] D. Chen, D. Jiao, and C. Koh, "A Parallel Transient Simulator of Linear Speedup and Electromagnetic Accuracy for the Simulation of Die-Package Interaction," IEEE Trans. on Components, Packaging, and Manufacturing Technology, vol. 1, no. 5, pp. 752-759, May 2011.

[40] Jongwon Lee, Venkataramanan Balakrishnan, Cheng-Kok Koh, and Dan Jiao, "From O(k^2N) to O(N): A Fast Complex-Valued Eigenvalue Solver For Large-Scale On-Chip Interconnect Analysis," vol. 57, no. 12, pp. 3219-3228, IEEE Trans. MTT, Dec. 2009.

[39] F. Sheng, H. Gan, and D. Jiao, "Fast Iterative Solution Algorithms in the Frequency-Domain Layered Finite Element Method for Analyzing Integrated Circuits," vol. 33, no. 2, pp. 524-533, IEEE Trans. Advanced Packaging, May 2010.

[38] Jongwon Lee, Venkataramanan Balakrishnan, Cheng-Kok Koh, and Dan Jiao, "A Linear-Time Complex-Valued Eigenvalue Solver for Electromagnetic Analysis of Large-Scale On-Chip Interconnect Structures," vol. 57, no. 8, pp. 2021-2029, IEEE Trans. MTT, Aug. 2009.

[37] W. Chai and D. Jiao, "An H2-Matrix-Based Integral-Equation Solver of Reduced Complexity and Controlled Accuracy for Solving Electrodynamic Problems," vol. 57, no. 10, pp. 3147-3159, IEEE Trans. Antennas Propagat., Oct. 2009.

[36] Duo Chen and Dan Jiao, "Time-Domain Orthogonal Finite-Element Reduction-Recovery (OrFE-RR) Method for Electromagnetics-Based Analysis of Large-Scale Integrated Circuit and Package Problems," vol. 28, no. 8, pp. 1138-1149, IEEE Transactions on Computer Aided Design of Integrated Circuits and Systems, Aug. 2009.

[35] H. Gan and D. Jiao, "Hierarchical Finite Element Reduction Recovery Method for Large-Scale Transient Analysis of High-Speed Integrated Circuits," vol. 33, no. 1, pp. 276-284, IEEE Trans. on Advanced Packaging, Feb. 2010.

[34] J. Zhu and D. Jiao, "A Unified Finite-Element Solution from Zero Frequency to Microwave Frequencies for Full-Wave Modeling of Large-Scale Three-Dimensional On-Chip Interconnect Structures," vol. 50, no. 4, pp. 873-881, IEEE Trans. on Advanced Packaging, Nov. 2008.

[33] H. Gan and D. Jiao, "A Fast-Marching Time-Domain Layered Finite-Element Reduction-Recovery Method for High-Frequency VLSI Design," vol. 57, no. 2, pp. 577-581, IEEE Trans. Antennas Propagat., Feb. 2009.

[32] H. Gan and D. Jiao, "An Alternative Analytical Reduction Scheme in the Time-Domain Layered Finite Element Reduction Recovery Method for High-Frequency VLSI Design," vol. 50, no. 9, pp. 2337-2341, Microwave and Optical Technology Letters, 2008.

[31] F. Sheng and D. Jiao, "Fast Reduction Algorithms in the Frequency-Domain Layered Finite Element Method for the Electromagnetic Analysis of Large-Scale High-Frequency Integrated Circuits," vol. 33, no. 1, pp. 266-275, IEEE Trans. Advanced Packaging, Feb. 2010.

[30] H. Gan and D. Jiao, "A Recovery Algorithm of Linear Complexity in the Time-Domain Layered Finite Element Reduction Recovery (LAFE-RR) Method for Large-Scale Electromagnetic Analysis of High-Speed ICs," vol. 31, no. 3, pp. 612-618, IEEE Trans. on Advanced Packaging, 2008.

[29] D. Jiao, J. Zhu, and S. Chakrarvarty, "A Fast Frequency-Domain Eigenvalue-Based Method for Full-Wave Modeling of Large-Scale Three-Dimensional On-Chip Interconnect Structures," vol. 31, no. 4, pp. 890-898, IEEE Trans. Advanced Packaging, 2008.

[28] H. Gan and D. Jiao, "A Time-Domain Layered Finite Element Reduction Recovery (LAFE-RR) Method for High-Frequency VLSI Design," IEEE Trans. Antennas Propagat., vol. 55, no. 12, pp. 3620-3629, Dec. 2007.

[27] D. Jiao, "A Recovery Algorithm for Frequency-Domain Layered Finite Element Analysis of Large-Scale High-Frequency Integrated Circuits," IEEE Microwave and wireless components letters, vol. 17, no. 8, pp. 553-555, Aug. 2007.

[26] D. Jiao, Joong-Ho Kim, and Jiangqi He, "Efficient Full-Wave Characterization of Discrete high-Density Multi-Terminal Decoupling Capacitors for High-Speed Digital Systems," vol. 31, no. 1, pp. 154-162, IEEE Transactions on Advanced Packaging, Nov. 2008.

[25] D. Jiao, S. Chakravarty, and Changhong Dai, "A layered finite-element method for electromagnetic analysis of large-scale high-frequency integrated circuits," IEEE Trans. Antennas Propagat., vol. 55, no. 2, pp. 422-432, Feb. 2007.

[24] M. J. Kobrinsky, S. Chakravarty, D. Jiao, M. C. Harmes, S. List, and M. Mazumder, "Experimental Validation of Crosstalk Simulations for On-Chip Interconnects Using S-Parameters," IEEE Transactions on Advanced Packaging, [see also IEEE Transactions on Components, Packaging and Manufacturing Technology, Part B: Advanced Packaging], Volume 28, Issue 1, pp. 57-62, Feb. 2005.

[23] D. Jiao and J. M. Jin, "Time-domain finite element simulation of cavity-backed microstrip patch antennas," Microwave Opt. Tech. Lett., vol. 32, no. 4, pp. 251-254, Feb. 2002.

[22] D. Jiao, J. M. Jin, E. Michielssen, and D. Riley, "Time-domain finite-element simulation of three-dimensional scattering and radiation problems using perfectly matched layers," IEEE Trans. Antennas Propagat., vol. 51, no. 2, pp. 296-305, Feb. 2003.

[21] D. Jiao and J. M. Jin, "An effective algorithm for implementing perfectly matched layers in time-domain finite-element simulation of open-region EM problems," IEEE Trans. Antennas Propagat., vol. 50, no. 11, pp. 1615-1623, Nov. 2002.

[20] D. Jiao and J. M. Jin, "A general approach for the stability analysis of time-domain finite element method," IEEE Trans. Antennas Propagat., vol. 50, no. 11, pp. 1624-1632, Nov. 2002.

[19] D. Jiao and J. M. Jin, "Three-dimensional orthogonal vector basis functions for time-domain finite element solution of vector wave equations," IEEE Trans. Antennas Propagat., vol. 51, no. 1, pp. 59-66, Jan. 2003.254, Feb. 2002.

[18] D. Jiao and J. M. Jin, "Time-domain finite-element modeling of dispersive medium," IEEE Microwave Wireless Components Letters, vol. 11, pp. 220-223, May 2001.

[17] D. Jiao, A. Erigin, B. Shanker, E. Michielssen, and J. M. Jin, "A fast higher-order time-domain finite element-boundary integral method for 3D electromagnetic transient analysis," IEEE Trans. Antennas Propagat., vol. 50, no. 9, pp. 1192-1202, Sept. 2002.

[16] D. Jiao, M. Lu, E. Michielssen, and J. M. Jin, "A fast time-domain finite element-boundary integral method for electromagnetic transient analysis," IEEE Trans. Antennas Propagat., vol. 49, no. 10, pp. 1453-1461, Oct. 2001.

[15] D. Jiao, J. M. Jin, and J. S. Shang, "Characteristic-based finite-volume time-domain method for scattering by coated objects," Electromagnetics, vol. 20, no. 3, pp. 257-268, May-June 2000.

[14] D. Jiao, J. M. Jin, and J. S. Shang, "Characteristic-based time-domain method for antenna analysis," Radio Science, vol. 36, no. 1, pp. 1-8, Jan./Feb. 2001.

[13] D. Jiao and J. M. Jin, "Asymptotic waveform evaluation for scattering by a dispersive dielectric object," Microwave Opt. Tech. Lett., vol. 24, no. 4, pp.232-234, Feb. 2000.

[12] D. Jiao and J. M. Jin, "Fast frequency-sweep analysis of microstrip antennas on a dispersive substrate," Electron. Lett., vol. 35, no. 14, pp. 1122-1123, July 1999.

[11] D. Jiao and J. M. Jin, "Fast frequency-sweep analysis of cavity-backed microstrip patch antennas," Microwave Opt. Tech. Lett., vol. 22, no. 6, pp. 389-393, Sept. 1999.

[10] D. Jiao and J. M. Jin, "Fast frequency-sweep analysis of RF coils for MRI," IEEE Trans. Biomed. Eng., vol. 46, pp. 1387-1390, Nov. 1999.

[9] F. Ling, D. Jiao, and J. M. Jin, "Efficient electromagnetic modeling of microstrip structures in multilayer media," IEEE Trans. Microwave Theory Tech., vol. 47, no. 9, pp. 1810-1818, Sept. 1999.

[8] D. Jiao, X. Y. Zhu, and J. M. Jin, "Fast and accurate frequency-sweep calculations using asymptotic waveform evaluation and combined-field integral equation," Radio Science, vol. 34, no. 5, pp. 1055-1063, Sept.-Oct. 1999.

[7] D. Jiao, S. J. Xu, and X. L. Wu, "New algorithm for natural frequency extraction," Progress in Natural Science, China, vol. 9, no. 7, pp. 545-552, July, 1999.

[6] D. Jiao, S. J. Xu et. al, "Recovery of signal from transient responses contaminated by Gaussian white noise based on orthogonal bases of compactly supported wavelets in frequency domain," Chinese Journal of Electronics (Acta Electronic Sinica), vol. 27, no. 6, pp. 120-122, June, 1999.

[5] X. L. Wu, D. Jiao, W. L. Zhi, and P. Z. Qiu, "A new algorithm for calculating natural frequencies of scattering objects," Chinese Journal of Electronics (English version of Acta Electronic Sinica), vol. 7, no. 2, pp. 205-209, April, 1998.

[4] D. Jiao, X. L. Wu, and W. L. Zhi, "Calculation of the natural frequencies of a thin wire conductor parallel to a ground plane using a new algorithm based on fast Fourier transform," Journal of Southeast University, no. 3, 1997.

[3] X. L. Wu, D. Jiao, and S. J. Xu, "Application of wavelet transform for removing high-frequency noise from targets' late-time transient responses," Chinese Journal of Electronics (English version of Acta Electronic Sinica), vol. 6, no. 3, pp. 82-86, July, 1997.

[2] D. Jiao, X. L. Wu, and W. L. Zhi, "A method for singularity extraction from targets' transient responses via spline functions and rational approximation," Journal of China University of Science and Technology, vol. 26, no. 4, pp. 528-533, 1996.

[1] D. Jiao, X. L. Wu, and W. L. Zhi, "Study on the traditional and modified prony method for extracting poles from electromagnetic transient responses," Journal of Anhui University, no. 4, pp. 27-34, 1993.

## Conference Proceedings:

[185] L. Xue and D. Jiao, "Analytical Method for Finding the Nullspace of Stiffness Matrix in the Finite Element Method," IEEE International Symposium on Antennas and Propagation, July 2017.

[184] K. Zeng and D. Jiao, "Frequency-Domain Method Having a Diagonal Mass Matrix in Arbitrary Unstructured Meshes for Efficient Electromagnetic Analysis," IEEE International Symposium on Antennas and Propagation, July 2017.

[183] M. Ma and D. Jiao, "Accuracy Directly Controlled Fast Direct Solutions of General H2-Matrices," IEEE International Symposium on Antennas and Propagation, July 2017.

[182] J. Yan and D. Jiao, "A Symmetric Positive Semi-definite 3-D FDTD Subgridding Algorithm for Arbitrary Grid Settings without Compromising Accuracy," IEEE International Symposium on Antennas and Propagation, July 2017.

[181] J. Yan and D. Jiao, "Matrix-Free Time-Domain Method for Thermal Analysis in Unstructured Meshes," IEEE International Symposium on Antennas and Propagation, July 2017.

[180] J. Yan and D. Jiao, "A General Approach to Ensuring the Stability of Unsymmetrical FDTD Subgridding Schemes," IEEE International Symposium on Antennas and Propagation, July 2017.

[179] Y. Zhao, D. Jiao, and J. Mao, "Hybrid Cross Approximation for Electric Field Integral Equation Based Scattering Analysis," IEEE International Symposium on Antennas and Propagation, July 2017.

[178] P. Li and D. Jiao, "A Direct Synthesis Algorithm Having a Broad Range of Validity for Electromagnetic Design," IEEE International Symposium on Antennas and Propagation, July 2017.

[177] J. Yan and D. Jiao, "A Symmetric Positive Semi-Definite FDTD Subgridding Algorithm for Arbitrary Grid Ratios with Uncompromised Accuracy," IEEE International Microwave Symposium (IMS), June, 2017.

[176] M. Ma and D. Jiao, "Exact-Arithmetic HSS-Inversion Algorithm for Fast Direct Solution of Electrically Large Volume Integral Equations," International Conference on Electromagnetics in Advanced Applications (ICEAA), Sept. 2016.(INVITED)

[175] M. Ma and D. Jiao, "New HSS-Factorization and Inversion Algorithms with Exact Arithmetic for Efficient Direct Solution of Large-Scale Volume Integral Equations," Progress In Electromagnetics Research Symposium (PIERS), Aug. 2016.(INVITED)

[174] J. Yan and D. Jiao, "An Unconditionally Stable Matrix-Free Time-Domain Method Independent of Element Shape for Multiscale and Large-Scale Electromagnetic Analysis," Progress In Electromagnetics Research Symposium (PIERS), Aug. 2016.(INVITED)

[173] M. Ma and D. Jiao, "HSS-Matrix Based Fast Direct Volume Integral Equation Solver for Electrodynamic Analysis," the IEEE International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Electromagnetics (ACES), March 13-17, 2016.(Best Student Paper Award)

[172] D. Jiao and J. Zhu, "Fast Algorithm for Nonlinear Signaling Analysis," 2016 IEEE Symposium on Electromagnetic Compatibility and Signal Integrity, July 2016.(INVITED)

[171] B. Zhou and D. Jiao, "Linear-Complexity Direct Finite-Element Solver Based Shape Design of Electromagnetic Structures," IEEE International Symposium on Antennas and Propagation, June 2016.

[170] Y. Zhao and D. Jiao, "Direct Synthesis Algorithms for Time-Domain Inverse Design of Electromagnetic Structures with Nonlinear Circuits," IEEE International Symposium on Antennas and Propagation, June 2016.

[169] W. Lee and D. Jiao, "Symmetric Positive-Definite Representation of Frequency-Domain Finite-Element System Matrix for Efficient Electromagnetic Analysis," IEEE International Symposium on Antennas and Propagation, June 2016.

[168] L. Xue and D. Jiao, "Solution to the Low-Frequency Breakdown in Full-Wave Finite-Element Based Analysis of General Lossy Problems," IEEE International Symposium on Antennas and Propagation, June 2016.

[167] J. Yan and D. Jiao, "Matrix-Free Time-Domain Method with Unconditional Stability in Unstructured Meshes," IEEE International Symposium on Antennas and Propagation, June 2016.

[166] M. Ma and D. Jiao, "Minimal-Rank HSS-Representation with Diagonal Coupling Matrices and Sparse Transfer Matrices for Solving Electrically-Large Integral Equations," IEEE International Symposium on Antennas and Propagation, June 2016.

[165] M. Ma and D. Jiao, "New HSS-Factorization and Inversion Algorithms with Exact Arithmetic for Efficient Direct Solution of Large-Scale Volume Integral Equations," IEEE International Symposium on Antennas and Propagation, June 2016.(HONORABLE MENTION AWARD, \$1000 STIPEND)

[164] J. Yan and D. Jiao, "Explicit and Unconditionally Stable FDTD Method Without Eigenvalue Solutions," IEEE International Microwave Symposium (IMS), May 2016.(BEST STUDENT PAPER AWARD FINALIST)

[163] M. Ma and D. Jiao, "Fast Exact-Arithmetic O(N) Direct Volume Integral Equation Solver for Large-Scale Interconnect Extraction," Asia-Pacific International Symposium on Electromagnetic Compatibility (APEMC), May 2016.(Invited)

[162] W. Lee and D. Jiao, "An Alternative Explicit and Unconditionally Stable Time-Domain Finite-Element Method for Analyzing General Lossy Electromagnetic Problems," IEEE International Conference on Computational Electromagnetics (ICCEM), Feb. 2016.

[161] B. Zhou and D. Jiao, "Optimal-Complexity Direct Solver Based Fast Synthesis of the Physical Layout of Electromagnetic Structures," International Conference on Electromagnetics in Advanced Applications, Sept. 2015.(Invited)

[160] J. Yan and D. Jiao, "Accurate and Stable Matrix-Free Time-Domain Method Independent of Element Shape for General Electromagnetic Analysis," International Conference on Electromagnetics in Advanced Applications, Sept. 2015.(Invited)

[159] J. Yan and D. Jiao, "Formulations of an Accurate and Stable Matrix-Free Time-Domain Method in 2-D Unstructured Meshes," IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO 2015), Aug. 2015. (Invited)

[158] J. Yan and D. Jiao, "Accurate Matrix-Free Time-Domain Method in Three-Dimensional Unstructured Meshes," IEEE International Symposium on Antennas and Propagation, July 2015.(Honorable Mention Award)

[157] J. Yan and D. Jiao, "Accurate Matrix-Free Time-Domain Method with Traditional Vector Bases in Unstructured Meshes," IEEE International Symposium on Antennas and Propagation, July 2015.

[156] D. Jiao and S. Omar, "Minimal-Rank H2-Matrix-Based Iterative and Direct Volume Integral Equation Solvers for Large-Scale Scattering Analysis," IEEE International Symposium on Antennas and Propagation, July 2015.

[155] M. Gaffar and D. Jiao, "A New Explicit and Unconditionally Stable FDTD Method for Analyzing General Lossy Problems," IEEE International Symposium on Antennas and Propagation, July 2015.

[154] W. Lee and D. Jiao, "A New Explicit and Unconditionally Stable Time-Domain Finite-Element Method," IEEE International Symposium on Antennas and Propagation, July 2015.

[153] B. Zhou and D. Jiao, "Linear-Complexity Direct Finite Element Solver for Irregular Meshes and Matrices without Mesh," IEEE International Symposium on Antennas and Propagation, July 2015.

[152] M. Gaffar and D. Jiao, "On the Low-Frequency Breakdown of FDTD," IEEE International Symposium on Antennas and Propagation, July 2015.

[151] D. Jiao, “Explicit Time-Domain Methods that Are Unconditionally Stable,” Computational Electromagnetics International Workshop (CEM’15), July 2015 (INVITED)

[150] J. Yan and D. Jiao, "Accurate Matrix-Free Time-Domain Method in Unstructured Meshes," IEEE International Microwave Symposium (IMS), May 2015.

[149] M. Gaffar and D. Jiao, "An Alternative Method for Making an Explicit FDTD Unconditionally Stable," IEEE International Microwave Symposium (IMS), May 2015. (Best Student Paper Finalist Award)

[148] W. Lee and D. Jiao, "Fast Structure-Aware Direct Time-Domain Finite Element Solver for Large-Scale On-Die Power Grid Simulation," 2015 IEEE Symposium on Electromagnetic Compatibility and Signal Integrity, Mar. 2015. (Best Paper Award Finalist)

[147] D. Jiao and J. Zhu, "Method for Accurate and Efficient Signaling Analysis of Nonlinear Circuits," 2015 IEEE Symposium on Electromagnetic Compatibility and Signal Integrity, Mar. 2015. (Best Paper Award Finalist)

[146] B. Zhou and D. Jiao, "Direct Finite Element Solver of Linear Complexity for Analyzing Electrically Large Problems," the 31th International Review of Progress in Applied Computational Electromagnetics (ACES 2015) Conference, Williamsburg, VA, March 2015. (Best Student Paper Award)

[145] W. Chai and D. Jiao, "Findings on H- and H2-Based Methods for Integral-Equation-Based Electrically Large Analysis," the 31th International Review of Progress in Applied Computational Electromagnetics (ACES 2015) Conference, Williamsburg, VA, March 2015. (Invited)

[144] B. Zhou and D. Jiao, "Linear (Optimal) Complexity Direct Full-Wave Solution of Full-Package Problems Involving over 10 Million Unknowns on a Single Computer," SRC TECHCON 2014, Austin, TX. (Best Paper in Session Award)

[143] S. Omar and D. Jiao, "O(N) Iterative and O(NlogN) Direct Volume Integral Equation Solvers for Large-Scale Electrodynamic Analysis," ICEAA 2014, Aruba. (Invited)

[142] J. Yan and D. Jiao, "A Matrix-Free Time-Domain Method Independent of Element Shape for Electromagnetic Analysis," the 2014 IEEE International Symposium on Antennas and Propagation.

[141] S. Omar and D. Jiao, "An O(N) Direct Volume IE Solver with a Rank-Minimized H2-Representation for Large-Scale 3-D Circuit Extraction in Inhomogeneous Materials," the 2014 IEEE International Symposium on Antennas and Propagation. (Best Student Paper Finalist Award)

[140] J. Yan and D. Jiao, "Fast Algorithm for Generating a Minimal-Order Model of a General Lossy Electromagnetic Problem," the 2014 IEEE International Symposium on Antennas and Propagation.

[139] B. Zhou and D. Jiao, "Linear-Complexity Direct Finite Element Solver Accelerated for Many Right Hand Sides," the 2014 IEEE International Symposium on Antennas and Propagation.

[138] M. Gaffar and D. Jiao, "A Simple Implicit and Unconditionally Stable FDTD Method by Changing Only One Time Instant," the 2014 IEEE International Symposium on Antennas and Propagation.

[137] M. Gaffar and D. Jiao, "Diagonal-Preserving Explicit and Unconditionally Stable FDTD Method for Analyzing General Lossy Electromagnetic Problems," the 2014 IEEE International Symposium on Antennas and Propagation. (Honorable Mention Award)

[136] W. Lee and D. Jiao, "Structure-Aware Time-Domain Finite-element Method for Efficient Simulation of VLSI Circuits," the 2014 IEEE International Symposium on Antennas and Propagation.

[135] J. Zhu, D. Chen, Q. He, and D. Jiao, "A Mass-Matrix Based Frequency-Domain Finite-Element Method Accelerated by a Reduced Eigenspace Method for Circuit Modeling," IEEE International Conference on Signal and Power Integrity (SIPI), 2014.

[134] B. Zhou and D. Jiao, "Direct Full-Wave Solvers of Linear Complexity for System-Level Signal and Power Integrity Co-Analysis," IEEE International Conference on Signal and Power Integrity (SIPI), 2014. (Invited)

[133] H. Liu and D. Jiao, "An H2-Matrix-Based Fast Direct Finite Element Solver for Electromagnetic Analysis," the 2014 International Workshop on Finite Elements for Microwave Engineering.

[132] B. Zhou and D. Jiao, "A Linear-Complexity Direct Finite-Element Solver for Analyzing Electrically Large 3-D Electromagnetic Problems," the 2014 International Workshop on Finite Elements for Microwave Engineering.

[131] J. Yan and D. Jiao, "An Explicit and Unconditionally Stable Time-Domain Finite-Element Method for the Analysis of General 3-D Lossy Problems," the 2014 International Workshop on Finite Elements for Microwave Engineering.

[130] S. Omar and D. Jiao, "A Linear Complexity H2-matrix Based Direct Volume Integral Solver for Broadband 3-D Circuit Extraction in Inhomogeneous Materials," IEEE International Microwave Symposium (IMS), 4 pages, 2014. (Best Student Paper Finalist Award)

[129] M. Gaffar and D. Jiao, "An Explicit and Unconditionally Stable FDTD Method for the Analysis of General 3-D Lossy Problems," IEEE International Microwave Symposium (IMS), 4 pages, 2014.

[128] Q. He, D. Chen, J. Zhu, and D. Jiao, "Minimal-Order Circuit Model Based Fast Electromagnetic Simulation," IEEE 22th Conference on Electrical Performance of Electronic Packaging and and Systems (EPEPS), 4 pages, Oct. 2013.

[127] B. Zhou and D. Jiao, "A Linear Complexity Direct Finite Element Solver for Large-Scale 3-D Electromagnetic Analysis," the IEEE International Symposium on Antennas and Propagation, July 2013. (Best Student Paper Finalist Award)

[126] S. Omar and D. Jiao, "A New Volume Integral Formulation for Fullwave Extraction of 3-D Circuits in Inhomogeneous Dielectrics Exposed to External Fields," the IEEE International Symposium on Antennas and Propagation, July 2013.

[125] S. Omar and D. Jiao, "An Analytical Approach to the Low-Frequency Breakdown of the Right Hand Side and Scattered Field Computation in EFIE," the IEEE International Symposium on Antennas and Propagation, July 2013.

[124] Q. He and D. Jiao, "A Rigorous Divide-and-Conquer Algorithm for Fast DC-Mode Extraction," the IEEE International Symposium on Antennas and Propagation, July 2013.

[123] S. Omar and D. Jiao, "Solution to the 'High' Frequency Breakdown in EFIE," the IEEE International Symposium on Antennas and Propagation, July 2013. (Honorable Mention Award)

[122] Q. He and D. Jiao, "Explicit and Unconditionally Stable Time-Domain Finite-Element Method with a More Than 'Optimal' Speedup," the IEEE International Symposium on Antennas and Propagation, July 2013.(Honorable Mention Award)

[121] B. Zhou and D. Jiao, "A Direct Finite Element Solver of Linear Complexity for Large-Scale 3-D Circuit Extraction in Multiple Dielectrics," the 50th ACM/EDAC/IEEE Design Automation Conference (DAC), June 2013.

[120] S. Omar and D. Jiao, "A New Volume Integral Equation Formulation for Analyzing 3-D Circuits in Inhomogeneous Dielectrics Exposed to External Fields," 3 pages, IEEE International Microwave Symposium (IMS), June 2013.

[119] Md Gaffar and D. Jiao, "An Explicit and Unconditionally Stable FDTD Method for 3-D Electromagnetic Analysis," 4 pages, IEEE International Microwave Symposium (IMS), June 2013.(Best Student Paper Finalist Award)

[118] J. Zhu, S. Omar, and D. Jiao, "The Frequency Band where the Solution to Maxwell's Equations Is Unknown -- A Challenge Facing the Analysis of Multiscale Problems and Its Solution," IEEE International Symposium on EMC, 2013 (Invited)

[117] D. Jiao, "Explicit Time-Domain Methods that are Unconditionally Stable," IEEE International Symposium on EMC, 2013 (INVITED)

[116] D. Jiao, "Direct Matrix Solutions of Linear Complexity for Rapid Electromagnetic Analysis of Large-scale Integrated Circuits," Progress in Electromagnetics Research Symposium (PIERS), 2013 (Invited)

[115] M. Gaffar and D. Jiao, "An Explicit and Unconditionally Stable Finite-Difference Time-Domain Method for Electromagnetic Analysis," the 2013 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March, 2013. (INVITED)

[114] B. Zhou and D. Jiao, "A Direct Finite-Element Solver of Linear Complexity for Electromagnetics-Based Analysis of 3-D Circuits," the 2013 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March, 2013. (INVITED)

[113] J. Zhu and D. Jiao, "A Fast and Accurate O(1) Solution to the Low-Frequency Breakdown Problem of Fullwave Solvers," the IEEE EMC International Symposium on Electromagnetic Compatibility, Aug. 2012. (INVITED).

[112] F. Sheng and D. Jiao, "A Deterministic-Solution Based Fast Quadratic Eigenvalue Solver for 3-D Finite Element Analysis," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.

[111] W. Chai and D. Jiao, "A Fast H2-Based Integral Equation Solver with an Optimized H2-Partition and Minimzed Rank for Large-Scale Electromagnetic Analysis," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.

[110] J. Zhu and D. Jiao, "A Fast O(1) Solution for Eliminating the Low-Frequency Breakdown Problem of Fullwave Solvers," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.

[109] W. Chai and D. Jiao, "A Theoretical Proof on the Error-Bounded Low-Rank Representation of Integral Operators for Large-Scale 3-D Electrodynamic Analysis," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.(Best Student Paper Finalist Award)

[108] H. Liu and D. Jiao, "A Theoretical Study on the Rank's Dependence with Electric Size of the Inverse Finite Element Matrix for Large-Scale Electrodynamic Analysis," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.

[107] S. Omar and D. Jiao, "A Novel Volume Integral Formulation for Wideband Impedance Extraction of Arbitrarily-Shaped 3-D Lossy Conductors in Multiple Dielectrics," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.

[106] F. Sheng and D. Jiao, "A Minimal Order Model from Zero to High Frequencies and Its Fast Generation for Finite-Element Based 3-D Electromagnetic Analysis," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.

[105] B. Zhou and D. Jiao, "A Fast Direct Finite Element Solver for Large-Scale 3-D Electromagnetic Analysis," accepted for publication, the 2012 IEEE International Symposium on Antennas and Propagation, July 2012.

[104] W. Chai and D. Jiao, "A Linear-Complexity Direct Integral Equation Solver Accelerated by a New Rank-Minimized H2-Representation for Large-Scale 3-D Interconnect Extraction," the IEEE International Microwave Symposium (IMS), 2012.

[103] Q. He, D. Chen, and D. Jiao, "An Extraction-Free Circuit Simulator of Linear Complexity Guided by Electromagnetics-Based First Principles," the 2012 International Workshop on Finite Elements for Microwave Engineering (FEM2012), June 2012. (INVITED). (Best Student Paper Award)

[102] J. Lee, D. Chen, and D. Jiao, "An Orthogonal Prism Vector Bases Based Quadratic Eigenvalue Solver of Linear Complexity for 3-D Electromagnetic Analysis," the 2012 International Workshop on Finite Elements for Microwave Engineering (FEM2012), June 2012.(INVITED)

[101] Q. He and D. Jiao, "An Explicit and Unconditionally Stable Time-Domain Finite-Element Method of Linear Complexity," the 2012 International Workshop on Finite Elements for Microwave Engineering (FEM2012), 6 pages, June 2012.

[100] J. Zhu and D. Jiao, "A Fast Full-Wave Solution that Eliminates the Low-Frequency Breakdown Problem in a Reduced System of Order One," 5 pages, the 2012 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), April, 2012.(INVITED)

[99] D. Chen and D. Jiao, "A Direct Domain-Decomposition Based Time-Domain Finite-Element Method of Linear Complexity for Simulating Multiscaled Structures," 5 pages, the 2012 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), April, 2012.(INVITED)

[98] S. Omar and D. Jiao, "An H2-Matrix Based Fast Direct Volume Integral Equation Solver for Electrodynamic Analysis," 5 pages, the 2012 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), April, 2012.(INVITED)

[97] W. Chai and D. Jiao, "A Theoretical Study on the Rank of the Integral Operators for Large-Scale Electrodynamic Analysis," 5 pages, the 2012 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), April, 2012.(INVITED)

[96] Q. He, D. Chen, and D. Jiao, "An Extraction-Free Circuit Simulator of Linear Complexity Guided by Electromagnetics-Based First Principles," the IEEE Electrical Design of Advanced Packaging & Systems Symposium (EDAPS), Hangzhou, China, Dec. 2011.(INVITED)

[95] Q. He, D. Chen, and D. Jiao, "An Explicit and Unconditionally Stable Time-Domain Finite-Element Method of Linear Complexity for Electromagnetics-Based Simulation of 3-D Global Interconnect Network," IEEE 20th Conference on Electrical Performance of Electronic Packaging and and Systems (EPEPS), 4 pages, Oct. 2011.

[94] W. Chai and D. Jiao, "An H2-Based Linear-Complexity Solution of Surface Integral Equations for 3-D Impedance Extraction," 5 pages, 2011 IEEE International Symposium on Electromagnetic Compatibility (EMC), Aug. 2011.(INVITED)

[93] W. Chai and D. Jiao, "An H2-Based Direct Integral Equation Solver of Linear Complexity for Full-Wave Extraction of 3-D Structures in Multiple Dielectrics," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011.

[92] Q. He and D. Jiao, "An Explicit Time-Domain Finite-Element Method that is Unconditionally Stable," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011(Best Student Paper Finalist Award)

[91] S. Omar and D. Jiao, "An Explicit Inverse Based Fast Direct Volume Integral Equation Solver for Electromagnetic Analysis," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011.

[90] H. Liu and D. Jiao, "An H-matrix Parametric Cascading Based Fast Direct Finite-Element Solver for Large-Scale Circuit Extraction," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011.

[89] F. Sheng and D. Jiao, "A Fast Frequency Sweep Algorithm with Controlled Error and Bandwidth for Finite-Element-Based Analysis of Integrated Circuits," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011.

[88] F. Sheng and D. Jiao, "A Bandwidth Unlimited Fast Frequency Sweep Algorithm for Electromagnetic Analysis," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011.

[87] D. Chen and D. Jiao, "A Direct Domain-Decomposition of Linear Complexity for Time-Domain Finite-Element Based Analysis of Multiscale Structures and Materials in Integrated Circuits," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011.

[86] J. Zhu and D. Jiao, "A Rigorous Solution to the Low-frequency Breakdown in the Electric Field Integral Equation," 4 pages, the 2011 IEEE International Symposium on Antennas and Propagation, July 2011.

[85] W. Chai and D. Jiao, "Direct Matrix Solution of Linear Complexity for Surface Integral-Equation Based Impedance Extraction of High Bandwidth Interconnects," 6 pages, the 48th ACM/EDAC/IEEE Design Automation Conference (DAC), June 2011.

[84] J. Zhu and D. Jiao, "A Rigorous Solution to the Low-Frequency Breakdown in Full-Wave Finite-Element-Based Analysis of General Problems Involving Inhomogeneous Lossy Dielectrics and Non-ideal Conductors," 4 pages, the 2011 International Microwave Symposium (IMS), June 2011.

[83] Q. He, D. Chen, and D. Jiao, "A First-Principle Guided Circuit Simulator of Linear Complexity and Its Linear Speedup for Die-Package Co-Design," the ASME 2011 Pacific Rim Technical Conference and Exhibition on Packaging and Integration of Electron and Photonic Systems, MEMS and NEMS. (INVITED)

[82] W. Chai and D. Jiao, "A Fast H-Matrix Based Direct Integral Equation Solver for the Analysis of Large-Scale Dielectric Scatterers," the 2011 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March 2011.

[81] S. Omar and D. Jiao, "An H2-Matrix Based Fast Volume Integral Equation Solver for Electrodynamic Analysis," the 2011 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March 2011.

[80] H. Liu and D. Jiao, "Layered H-Matrix Based LU factorization of Significantly Reduced Complexity for Direct Finite-Element-Based Computation of Large-Scale Electromagnetic Problems," 6 pages, the 2011 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March 2011. (Best Student Paper Award)

[79] H. Liu and D. Jiao, "Existence of H-matrix Approximants to the Inverse Finite-Element Matrix of Electrodynamic Problems and H-Based Fast Direct Finite-Element Solvers," 2011 SIAM Conference on Computational Science and Engineering. (INVITED)

[78] J. Zhu and D. Jiao, "A Rigorous Method for Fundamentally Eliminating the Low-Frequency Breakdown in Full-Wave Finite-Element-Based Analysis: Combined Dielectric-Conductor Case," 4 pages, the IEEE 19th Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS), 4 pages, Oct. 2010.

[77] D. Chen and D. Jiao, "Multiscale Orthogonal Finite-Element Reduction-Recovery Method of Accelerated Convergence for Transient Simulation of Compound Metal-Dielectric Systems," the 10th Int. Workshop on Finite Elements for Microwave Engineering, Oct. 2010.

[76] D. Chen and D. Jiao, "A Parallel Time-Domain Finite-Element Simulator of Linear Speedup and Linear Complexity for the Analysis of Very Large-Scale Integrated Circuits and Packages," the 10th Int. Workshop on Finite Elements for Microwave Engineering, Oct. 2010.

[75] H. Liu and D. Jiao, "H-Matrix-Based Frequency-Domain Layered Finite Element Method for Fast Direct Computation of Very Large-Scale Integrated Circuits," the 10th Int. Workshop on Finite Elements for Microwave Engineering, Oct. 2010.

[74] D. Chen and D. Jiao, "An Electromagnetics-Based Parallel Transient Circuit Simulator of Linear Speedup and Linear Complexity for the Analysis of Very Large-Scale Integrated Circuits and Packages," 2010 IEEE Internal Symposium on EMC, 5 pages, July 2010.

[73] J. Zhu and D. Jiao, "A Mass-Matrix Solution Based Frequency-Domain Finite-Element Method," to appear, the 2010 IEEE International Symposium on Antennas and Propagation, July 2010.

[72] Q. He, D. Chen, and D. Jiao, "Electromagnetics-Based Co-Simulation of Linear Network and Nonlinear Circuits Accelerated by Time-Domain Orthogonal Finite-Element Reduction-Recovery Method," the 2010 IEEE International Symposium on Antennas and Propagation, 4 pages, July 2010.

[71] J. Zhu and D. Jiao, "A Theoretically Rigorous Solution for Fundamentally Eliminating the Low-Frequency Breakdown Problem in Finite-Element-Based Full-Wave Analysis," the 2010 IEEE International Symposium on Antennas and Propagation, July, 2010. (Best Student Paper Finalist Award)

[70] W. Chai and D. Jiao, "A New H2-Matrix-Based Representation of Electrodynamic Systems with Minimized Rank and Prescribed Accuracy," to appear, the 2010 IEEE International Symposium on Antennas and Propagation, July 2010.

[69] H. Liu and D. Jiao, "Layered H-Matrix Based Direct Matrix Inversion of Significantly Reduced Complexity for Finite-Element-Based Large-Scale Electromagnetic Analysis," to appear, the 2010 IEEE International Symposium on Antennas and Propagation, July 2010.

[68] W. Chai and D. Jiao, "A Complexity-Reduced H-Matrix Based Direct Integral Equation Solver with Prescribed Accuracy for Large-Scale Electrodynamic Analysis," to appear, the 2010 IEEE International Symposium on Antennas and Propagation, July 2010.

[67] Jongwon Lee, Venkataramanan Balakrishnan, Cheng-Kok Koh, Dan Jiao, “A Fast 3-D Eigenvalue Solver for Finite-Element-Based Analysis of Multilayered Integrated Circuits," to appear, the 2010 IEEE International Symposium on Antennas and Propagation, July, 2010.

[66] D. Chen and D. Jiao, "Multiscale Orthogonal Finite-Element Reduction-Recovery Method for Transient Analysis of Integrated Circuits and Package Problems," to appear, 2010 IEEE International Symposium on Antennas and Propagation, July 2010.

[65] H. Liu and D. Jiao, "An H-LU Based Direct Finite Element Solver Accelerated by Nested Dissection for Large-Scale Modeling of ICs and Packages," Progress in Electromagnetics Research Symposium (PIERS) 2010, July 5-8, in Cambridge, Massachusetts, USA.

[64] W. Chai and D. Jiao, "LU-decomposition based integral equation solver of linear complexity and higher-order accuracy for large-scale capacitance extraction," European Conference on Antennas and Propagation 2010, 12-16 April 2010, Barcelona.

[63] H. Gan, H. Liu, and D. Jiao, "An Unconditionally Stable Time-Domain Finite Element Method of Significantly Reduced Computational Complexity for Large-Scale Simulation of IC and Package Problems," IEEE 18th Conference on Electrical Performance of Electronic Packaging (EPEP), 4 pages, Oct. 2009.

[62] W. Chai, D. Jiao, and C. C. Koh, "A Direct Integral-Equation Solver of Linear Complexity for Large-Scale 3D Capacitance and Impedance Extraction," accepted for presentation, 46th ACM/EDAC/IEEE Design Automation Conference (DAC), July, 2009.

[61] H. Liu and D. Jiao, "Performance Analysis of the H-Matrix-Based Fast Direct Solver for Finite-Element-Based Analysis of Electromagnetic Problems," accepted on 02/22/2009, IEEE International Symposium on Antennas and Propagation, 4 pages, 2009.

[60] Q. He and D. Jiao, "Co-Simulation of Linear Electromagnetic Structures and Non-Linear Devices in the Time-Domain Finite-Element Reduction-Recovery Method," accepted on 02/22/2009, IEEE International Symposium on Antennas and Propagation, 4 pages, 2009.

[59] W. Chai and D. Jiao, "An H2-Matrix-Based Direct Integral-Equation Solver of Linear Complexity for Solving Electrodynamic Problems," accepted on 02/22/2009, IEEE International Symposium on Antennas and Propagation, 4 pages, 2009.

[58] J. Zhu and D. Jiao, "An Effective Solution to the Low-Frequency Breakdown Problem in the Frequency-Domain Finite-Element Method," accepted on 02/22/2009, IEEE International Symposium on Antennas and Propagation, 2009.

[57] Haixin Liu and Dan Jiao, "A Direct Finite-Element-Based Solver of Significantly Reduced Complexity for Solving Large-Scale Electromagnetic Problems," accepted on 01/27/2009, IEEE International Microwave Symposium (IMS), June, 2009.

[56] Jongwon Lee, Venkataramanan Balakrishnan, Cheng-Kok Koh, and Dan Jiao, "From O(k^2N) to O(N): A Fast Complex-Valued Eigenvalue Solver For Large-Scale On-Chip Interconnect Analysis," accepted on 01/27/2009, IEEE International Microwave Symposium (IMS), June, 2009.

[55] W. Chai and D. Jiao, "Reduced Complexity, Controlled Accuracy, H2-Matrix-Based Fast Integral-Equation Solver for Solving Electrodynamic Problems," accepted on 01/18/2009, 6 pages, the 2009 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March, 2009.

[54] Haixin Liu, Wenwen Chai, and Dan Jiao, "An H-Matrix-Based Fast Direct Solver for Finite-Element-Based Analysis of Electromagnetic Problems," accepted on 01/18/2009, 5 pages, the 2009 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March, 2009.

[53] Duo Chen and Dan Jiao, "Time-Domain Orthogonal Finite-Element Reduction-Recovery (OrFE-RR) Method for Electromagnetics-Based Simulation of VLSI Problems," accepted on 01/18/2009, 5 pages, the 2009 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March, 2009.

[52] Jongwon Lee, Venkataramanan Balakrishnan, Cheng-Kok Koh, and Dan Jiao, "A Linear-Time Complex-Valued Eigenvalue Solver for Large-Scale Full-Wave Extraction of On-Chip Interconnect Structures," accepted on 01/18/2009, 5 pages, the 2009 International Annual Review of Progress in Applied Computational Electromagnetics (ACES), March, 2009.

[51] W. Chai and D. Jiao, "An H2-Matrix-Based Integral-Equation Solver of Linear-Complexity for Large-Scale Electromagnetic Analysis," 2008 Asia Pacific Microwave Conference. (INVITED PAPER).

[50] H. Gan, Q. He, and D. Jiao, "Hierarchical and Adaptive Finite-Element Reduction-Recovery Method for Large-Scale Power and Signal Integrity Analysis of High-Speed IC and Packaging Structures," IEEE 17th conference on electrical performance of electronic packaging (EPEP), accepted on 08/27/2008.

[49] W. Chai and D. Jiao, "An H2-Matrix-Based Integral-Equation Solver of Linear-Complexity for Large-Scale Full-Wave Modeling of 3D Circuits," IEEE 17th conference on electrical performance of electronic packaging (EPEP), accepted on 08/27/2008.

[48] F. Sheng and D. Jiao, "Fast Iterative Solution Algorithms for the Frequency-Domain Layered Finite-Element Based Analysis of Large-Scale On-Chip Interconnect Structures," IEEE 17th conference on electrical performance of electronic packaging (EPEP), accepted on 08/27/2008.

[47] Duo Chen and Dan Jiao, "Time-Domain Orthogonal Finite-Element Reduction-Recovery (OrFE-RR) Method for Fast and Accurate Broadband Simulation of Die-Package Interaction," IEEE 17th conference on electrical performance of electronic packaging (EPEP), accepted on 08/27/2008.

[46] W. Chai and D. Jiao, "An H-Matrix-Based Method for Reducing the Complexity of Integral-Equation-Based Solutions of Electromagnetic Problems," IEEE International Symposium on Antennas and Propagation, 2008.

[45] H. Gan and D. Jiao, "A Fast-Marching Time-Domain Layered Finite-Element Reduction-Recovery Method for High-Frequency VLSI Design," IEEE MTT-S International Microwave Symposium, June 2008.

[44] Jongwon Lee, Venkataramanan Balakrishnan, Cheng-Kok Koh, and Dan Jiao, "A Linear-Time Eigenvalue Solver for Finite-Element-Based Analysis of Large-Scale Wave Propagation Problems in On-Chip Interconnect Structures," IEEE International Symposium on Antennas and Propagation, July 2008.

[43] H. Gan and D. Jiao, "A Fast-Marching Time-Domain Layered Finite-Element Reduction-Recovery Method for Large Scale Electromagnetic Analysis of VLSI Circuits," invited paper, the 9th International Workshop on Finite Elements for Microwave Engineering, May 2008.

[42] Dan Jiao, "From O(N) to O(M): Hierarchical Time-Domain Finite-Element Reduction-Recovery Methods for Large Scale Electromagnetic Analysis," invited paper, the 9th International Workshop on Finite Elements for Microwave Engineering, May 2008.

[41] J. Zhu and D. Jiao, "A Unified Finite-Element Solution from Zero Frequency to Microwave Frequencies for Full-Wave Modeling of Large-Scale Three-Dimensional On-Chip Interconnect Structures," invited paper, IEEE International Symposium on Antennas and Propagation, July 2008.

[40] H. Gan and D. Jiao, "From O(N) to O(M): Time-Domain Layered Finite-Element Reduction-Recovery Methods for Large Scale Electromagnetics-Based Analysis and Design of On-Chip Circuits," invited paper, IEEE International Symposium on Antennas and Propagation, July 2008.

[39] F. Sheng, S. Chakravarty, and D. Jiao, "An Efficient 3D-to-2D Reduction Technique for Frequency-Domain Layered Finite Element Analysis of Large-Scale High-Frequency Integrated Circuits," IEEE 16th Topical Meeting on Electrical Performance of Electronic Packaging, Oct. 29-31, 2007.

[38] H. Gan and D. Jiao, "A Recovery Algorithm of Linear Complexity in the Time-Domain Layered Finite Element Reduction Recovery (LAFE-RR) Method for Large Scale Electromagnetic Analysis of High-Speed ICs," IEEE 16th Topical Meeting on Electrical Performance of Electronic Packaging, Oct. 29-31, 2007.

[37] H. Gan and D. Jiao, "A Fast and High-Capacity Electromagnetic Solution for High-Speed IC Design," IEEE/ACM International Conference on Computer-Aided Design (ICCAD), 2007.

[36] D. Jiao and F. Sheng, "A Reduction Recovery Algorithm for Frequency-Domain Layered Finite Element Analysis of Large-Scale On-Chip Interconnect Structures," IEEE International Symposium on Antennas and Propagation, June 2007.

[35] H. Gan and D. Jiao, "A Time-Domain Layered Finite Element Reduction Recovery Method (LAFE-RR) for High-Frequency VLSI Design," IEEE International Symposium on Antennas and Propagation, June 2007.

[34] J. Zhu and D. Jiao, "A Fast Eigenvalue-Based Solution for Full-Wave Analysis of Large-Scale Three-Dimensional On-Chip Interconnect Structures," IEEE International Symposium on Antennas and Propagation, June 2007.

[33] D. Jiao, Changhong Dai, and Shiuh-Wuu Lee "On High-Capacity Electromagnetic Solutions for Future High-Speed IC Design," invited paper, Progress in Electromagnetics Research Symposium, March 2007.

[32] D. Jiao, S. Chakravarty, and C. Dai, "A Layered Finite Element Method for High-Frequency Modeling of Large-Scale Three-Dimensional On-Chip Interconnect Structures," IEEE 15th Topical Meeting on Electrical Performance of Electronic Packaging, Oct. 22-25, 2006.

[31] D. Jiao, "A layered finite-element method for high-capacity electromagnetic analysis of high-frequency ICs," 2006 IEEE International Symposium on Antennas and Propagation.

[30]D. Jiao, S. Chakravarty, C. Dai, and S. W. Lee, "Surface-based finite element method for large-scale 3D Circuit Modeling", invited paper, IEEE 14th Topical Meeting on Electrical Performance of Electronic Packaging, Oct. 24-26, 2005, pp. 347-350.

[29] C. Pan, D. Jiao, L. Zlydin, Y. Levani, S. Chakravarty, Y. Yagil, and C. Dai, "Accurate On-Chip Power Grid Analysis Using FastGrid," 2005 Intel Design and Test Technology Conference.

[28]D. Jiao, J Kim, and C. Dai, "BroadSpice: Generic Broadband SPICE Model of High-Speed Circuits," 2004 Intel Design and Test Technology Conference (Best Paper Award). (Best Paper Award)

[27] D. Jiao et. al., "Computational Electromagnetics for High-Frequency IC Design," invited paper, 2004 IEEE International Symposium on Antennas and Propagation.

[26] J. Kim, D. Jiao, J. He, K. Radhakrishnan, and C. Dai, "Characterization of Discrete Decoupling Capacitors for High-Speed Digital Systems," the 54th Electronic Components and Technology Conference, 2004.

[25] M. J. Kobrinsky, S. Chakravarty, D. Jiao, M. Harmes, S. List and M. Mazumder, "Experimental validation of crosstalk simulations for on-chip interconnects at high frequencies using S-parameters," IEEE 12th Topical Meeting on Electrical Performance of Electronic Packaging, Oct. 27-29, 2003, pp. 329-332.

[24] D. Jiao et. al., "Efficient full-wave S-parameter-based noise analysis for high frequency design of 3D on-chip buses", 2003 Intel Design and Test Technology Conference.

[22] M. J. Kobinsky, S. Chakravarty, D. Jiao, and M. C. Harmes, "Experiments and Simulations of Crosstalk in Interconnects at High frequencies", 2002 Intel Deisgn and Test Technology Conference.

[21] D. Jiao and J. M. Jin, "Time-domain finite-element simulation of three-dimensional scattering and radiation problems using perfectly matched layers," IEEE Antennas and Propagation Society International Symposium, Texas, June 2002.

[20] D. Jiao, A. Ergin, B. Shanker, E. Michielssen, and J. M. Jin, "A fast time-domain finite element-boundary integral method for 3-D scattering," 17th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 2001.

[19] J. M. Jin, F. Ling, and D. Jiao, "Fast analysis of microstrip antennas and arrays," 17th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 2001.

[18] D. Jiao, J. M. Jin, and E. Michielssen, "Time-domain finite element simulation of electromagnetic transient scattering," International Conference on Electromagnetics in Advanced Applications (ICEAA01), Torino, Italy, Sept. 2001.

[17] D. Jiao and J. M. Jin, "Time-domain finite element modeling of dispersive media," IEEE Antennas and Propagation Society International Symposium, Boston, MA, July 2001.

[16] D. Jiao, A. Ergin, B. Shanker, E. Michielssen, and J. M. Jin, "A fast higher-order time-domain finite element-boundary integral method for 3-D electromagnetic scattering analysis," IEEE Antennas and Propagation Society International Symposium, Boston, MA, July 2001.

[15] D. Jiao, A. Ergin, B. Shanker, E. Michielssen, and J. M. Jin, "A higher-order time-domain finite element-boundary integral method for 3-D scattering analysis," 17th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 2001.

[14] D. Jiao, A. Ergin, B. Shanker, E. Michielssen, and J. M. Jin, "A fast time-domain finite element-boundary integral method for 3-D scattering," 17th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 2001.

[13] J. M. Jin, F. Ling, and D. Jiao, "Fast analysis of microstrip antennas and arrays," 17th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 2001.

[12] D. Jiao, M. Lu, E. Michielssen, and J. M. Jin, "A fast time-domain finite-element— boundary-integral method for electromagnetic transient analysis," 5th International Workshop on Finite Elements for Microwave Engineering, Boston, MA, June 2000.

[11] D. Jiao, J. M. Jin, and J. Shang, "Characteristic-based time-domain method for electromagnetic analysis," IEEE Antennas and Propagation Society International Symposium, Salt Lake City, Utah, July 2000.

[10]D. Jiao, M. Lu, E. Michielssen, and J. M. Jin, "A time-domain finite-element boundary-integral method for 2D electromagnetic transient analysis," IEEE Antennas and Propagation Society International Symposium, Salt Lake City, Utah, July 2000.

[9] D. Jiao and J. M. Jin, "Fast electromagnetic analysis using the asymptotic waveform evaluation method," 16th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 2000.

[8] D. Jiao, J. M. Jin, and J. Shang, "Characteristic-based time-domain method for antenna analysis," 16th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, March 2000.

[7] D. Jiao, F. Ling, and J. M. Jin, "Fast electromagnetic analysis using the asymptotic waveform evaluation method," International Conference on Electromagnetics in Advanced Applications (ICEAA99), Torino, Italy, Sept. 1999.

[6] F. Ling, D. Jiao, and J. M. Jin, "Efficient electromagnetic modeling of microstrip structures in multilayer media," IEEE Antennas and Propagation Society International Symposium, Orlando, Florida, July 1999.

[5] D. Jiao, S. J. Xu, X. L. Wu, and S. X. Li, "Extraction of natural frequency from measured late-time transient responses with rational minimax approximation in frequency domain," 1998 International Conference on Microwave and Millimeter Wave Technology, China, pp. 986-989.

[4] D. Jiao and S. J. Xu et. al, "A simple and effective method of recovering signal from transient responses contaminated by Gaussian white noise," 1998 China-Japan Joint Meeting on Microwaves.

[3] D. Jiao, S. J. Xu, X. L. Wu, and S. X. Li, "Recovery of signal from transient responses contaminated by Gaussian white noise based on orthogonal bases of compactly supported wavelets in frequency domain," The 1998 IEEE Antennas and Propagation Society International Symposium, Atlanta, July 1998, vol. 3, pp. 1736-1739.

[2] D. Jiao, X. L. Wu, and W. L. Zhi, "A method for singularity extraction from pulse responses via spline functions and rational approximation," Proceedings of 1996 China-Japan Joint Meeting on Microwaves, pp.137-140, April, 1996.

[1] D. Jiao and J. M. Jin, "Fast and accurate frequency response calculation using asymptotic waveform evaluation and combined field integral equation," XXVI-th General Assembly of the International Union of Radio Science, Toronto, Canada, Aug. 1999.

## Book chapters:

[1] D. Jiao and J. M. Jin, "Finite element analysis in time domain," Chapter 12 in The Finite Element Method in Electromagnetics, New York: John Wiley & Sons, 2nd edition, 2002, pp. 529-584.

[2] D. Jiao and J. M. Jin, "Asymptotic waveform evaluation for broadband calculations," Chapter 15 in the Fast and Efficient Algorithms in Computational Electromagnetics edited by W. C. Chew, J. M. Jin, E. Michielssen, and J. M. Song. Norwood, MA: Artech House, 2001, pp. 699-727.

[3] J. Zhu and D. Jiao, "Solution to the low-frequency breakdown problem in computational electromagnetics," Chapter 8 in Computational Electromagnetics: Recent Advances and Engineering Applications edited by Raj Mittra, Springer, 2013.

## Invited Talks:

[1] "Computational Electromagnetics for Fast Full-wave Design and Analysis of Next Generation Circuits," California Institute of Technology, Mar. 2003.

[2] "Computational Electromagnetics for Fast Full-wave Design and Analysis of Next Generation Circuits," Massachusetts Institute of Technology, Mar. 2003.

[3] "Computer-Aided Next Generation Microsystem Design with Electromagnetic Accuracy," The Johns Hopkins University, Feb. 2004.

[4] "Computer-Aided Design of Next Generation Circuits with Electromagnetic Accuracy," Duke University, April, 2004.

[5] "Computational Electromagnetics for High-Frequency IC Design," IEEE International Symposium on Antennas and Propagation, 2004.

[6] "Surface-based finite element method for large-scale 3D Circuit Modeling," IEEE 14th Topical Meeting on Electrical Performance of Electronic Packaging, 2005.

[7] "High-Capacity Electromagnetic Solutions for High-Speed Full-Chip Design," University of Michigan, Nov. 2006.

[8] "High-Capacity Electromagnetic Solutions for High-Speed Full-Chip Design," University of Illinois at Urbana-Champaign, Oct. 2006.

[9] "Toward Accurate and Fast Broadband Modeling of the Die-Package Interaction," Intel Corporation, Hillsboro, OR, Aug. 2006.

[10] "A Time-Domain Layered Finite-element Reduction Recovery Method for Next Generation IC Design," DARPA Young Faculty Award Workshop, Arlington, Nov. 2006.

[11] "Breaking the O(N) Barrier: Scalable Algorithms for Large Scale Electromagnetics-Based Analysis and Design of Next Generation Military Microsystems," DARPA Young Faculty Award Workshop, Arlington, Nov. 2007.

[12] "An H2-Matrix-Based Integral-Equation Solver of Linear-Complexity for Large-Scale Full-Wave Modeling of 3D Circuits," Intel Corporation, Santa Clara, CA, Oct. 2008.

[13] "Time-Domain Orthogonal Finite-Element Reduction-Recovery (OrFE-RR) Method for Fast and Accurate Broadband Simulation of Die-Package Interaction," Intel Corporation, Santa Clara, CA, Oct. 2008.

[14] "Linear-Complexity Integral-Equation-Based Solvers for Solving Large-Scale Electrodynamic, Electrostatic, and Magnetostatic Problems," Synopsys Inc., Mountain View, CA, Oct. 2008.

[15] "H2-Matrix-Based Fast Direct and Iterative Integral-Equation Solvers for Large-Scale Electromagnetic Analysis," University of Illinois at Urbana-Champaign, Mar. 2009.

[16] "A Parallel Transient Simulator of Linear Speedup and Electromagnetic Accuracy for the Simulation of Die-Package Interaction," Intel Corporation, Hillsboro, OR, Oct. 2009.

[17] "An Unconditionally Stable Time-Domain Finite Element Method of Significantly Reduced Computational Complexity for Large-Scale Simulation of IC and Package Problems," Intel Corporation, Hillsboro, OR, Oct. 2009.

[18] "H2-Matrix-Based Fast Direct and Iterative Integral-Equation Solvers for Large-Scale Electromagnetic Analysis," University of Illinois at Urbana-Champaign, Mar. 2009.

[19] "Linear-Complexity Computational Electromagnetic Methods for the Analysis and Design of VLSI Circuits," Shanghai Jiaotong University, China, May 2010.

[20] "Linear-Complexity Computational Electromagnetic Methods for the Analysis and Design of VLSI Circuits," Zhejiang University, China, May 2010.

[21] "Linear-Complexity Computational Electromagnetic Methods for the Analysis and Design of Very Large Scale Integrated Circuits," Anhui University, China, May 2010.

[22] "Linear-Complexity Computational Electromagnetic Methods for the Analysis and Design of Very Large Scale Integrated Circuits," University of Science and Technology of China, May 2010.

[23] "Linear-Complexity Computational Electromagnetic Methods for Large-Scale Circuit Analysis," Purdue University, Math Department, April 2010.

[24] "An H-matrix based framework for reducing the complexity of computational electromagnetic methods," IEEE APS and MTT Chicago Chapter, Nov. 2010.

[25] "A Rigorous Method for Fundamentally Eliminating the Low-Frequency Breakdown Problem in Full-Wave Electromagnetics-Based Analysis," University of Illinois at Urbana-Champaign, April 2011.

[26] "Recent Progress at Purdue in Integrated Circuit Modeling and Simulation Guided by Electromagnetics-Based First Principles," Sandia National Lab, Albuquerque, NM, July 2011.

[27] "An Extraction-Free Circuit Simulator of Linear Complexity and Its Linear Speedup," Intel Corporation, Santa Clara, CA, Oct. 2011.

[28] "Direct Matrix Solutions of Linear Complexity for the Modeling and Simulation of Next-Generation Integrated Circuits and Systems," NSF Workshop on Micro, Nano, Bio Systems, Mar. 2012.

[29] "Direct Matrix Solutions of Linear Complexity for Rapid Modeling and Design of High Bandwidth Package Interconnects," SRC IPS Back End Processes and Packaging Meeting, Stanford University, CA, June 2012.

[30] "Solution to Two Open Problems in Electromagnetics," Penn State University, State College, PA, September 2012.

[31] "Explicit Time-Domain Methods that are Unconditionally Stable," IEEE International Symposium on EMC, Aug. 2013.

[32] "Direct Electromagnetic Solvers of Linear Complexity for Large-Scale Integrated Circuit Design," Georgia Institute of Technology, Mar. 2014.

[33] "Fast Direct Solvers of Linear Complexity for Large-Scale Circuit Extraction," Semiconductor Manufacturing International Corporation (SMIC), May 2014.

[34] "Explicit Time-Domain Methods that are Unconditionally Stable," Anhui University, China, Oct. 2014.

[35] "Direct Solvers of Linear Complexity for Large-Scale Electromagnetic Analysis," Beijing Institute of Technology, China, Oct. 2014.

[36] "Direct Solvers of Linear Complexity for Large-Scale Electromagnetic Analysis," Tsinghua University, China, Oct. 2014.

[37] "Direct Finite Element Solver of Linear Complexity for Analyzing Electrically Large Problems," Zhejiang University, Feb. 2016.

[38] "Low-Complexity Direct Solvers," the 2016 IEEE International Conference on Wireless Information Technology and Systems (ICWITS) and Applied Computational Electromagnetics (ACES), Mar. 2016. (INVITED TUTORIAL)

[39] "Recent Progress on Optimal-Complexity Direct Solvers," IEEE International Conference on Computational Electromagnetics (ICCEM), Mar. 2017. (KEYNOTE)

[40] "Matrix-Free Time-Domain Methods for Solving PDEs in Multiphysics," International Workshop on High-Performance Computing for Electromagnetic and Multiphysics Modeling, May 2017, Haining, China.

## Patents:

[1] D. Jiao, M. Mazumder, and C. Dai, "Analyzing interconnect structures," US patent No. 7,289,945, awarded October 30, 2007.

[2] D. Jiao and C. Dai, "Electromagnetic solutions for full-chip Analysis," US patent No. 7,509,247, awarded Mar. 24, 2009.

## Technical Reports (Total Readership 5,592 by June 2, 2015):

[1] H. Liu and D. Jiao, "H-Matrix-Based Fast Direct Finite Element Solver for Large-Scale Electromagnetic Analysis," ECE TR-396, School of Electrical Engineering, Purdue University, Feb. 2010, 34 pages.

[2] J. Zhu and D. Jiao, "A Theoretically Rigorous Full-Wave Finite-Element-Based Solution of Maxwell’s Equations from DC to High Frequencies," ECE TR-395, School of Electrical Engineering, Purdue University, Feb. 2010, 8 pages.

[3] W. Chai and D. Jiao, "Dense Matrix Inversion of Linear Complexity for Integral-Equation Based Large-Scale 3-D Capacitance Extraction," TR-ECE-11-05, School of Electrical Engineering, Purdue University, Feb. 2011, 18 pages.

[4] W. Chai and D. Jiao, "A Complexity-Reduced H-Matrix Based Direct Integral Equation Solver with Prescribed Accuracy for Large-Scale Electrodynamic Analysis," TR-ECE-11-04, School of Electrical Engineering, Purdue University, Feb. 2011, 20 pages.

[5] J. Zhu and D. Jiao, "A Fast Full-Wave Solution that Eliminates the Low-Frequency Breakdown Problem in a Reduced System of Order One," TR-ECE-11-14, School of Electrical Engineering, Purdue University, Aug. 2011, 11 pages.

[6] Q. He, H. Gan, and D. Jiao, "An Explicit Time-Domain Finite-Element Method That Is Unconditionally Stable," TR-ECE-11-15, School of Electrical Engineering, Purdue University, Aug. 2011, 12 pages.

[7] H. Liu and D. Jiao, "A Theoretical Study on the Rank’s Dependence with Electric Size of the Inverse Finite Element Matrix for Large-Scale Electrodynamic Analysis," TR-ECE-11-20, School of Electrical Engineering, Purdue University, Nov. 2011, 3 pages.

[8] W. Chai and D. Jiao, "A Theoretical Study on the Rank of the Integral Operators for Large-Scale Electrodynamic Analysis," TR-ECE-11-19, School of Electrical Engineering, Purdue University, Nov. 2011, 6 pages.

[9] J. Zhu, S. Omar, and D. Jiao, "Solution to the Electric Field Integral Equation at Arbitrarily Low Frequencies," TR-ECE-12-05, School of Electrical Engineering, Purdue University, May 2012, 11 pages.