TY - GEN
T1 - Hierarchical Matrix-Based Direct Solver for Permuted Poggio-Miller-Chang-Harrington-Wu-Tsai Equation
AU - Wang, Shuo
AU - Ren, Qiang
N1 - Publisher Copyright:
© 2023 Applied Computational Electromagnetics Society (ACES).
PY - 2023
Y1 - 2023
N2 - With some rearrangement of the basis and testing functions, a permuted impedance matrix of the Poggio- Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equation is obtained, where the canonical hierarchical matrix-based direct solver can effectively function. In this paper, the feasibility of hierarchical matrix schemes in permuted PMCHWT is derived. Compared with using four hierarchical matrices on four submatrices in the classic formula, the method using hierarchical matrices on the permuted formula can reduce both the memory of storage and the time of decomposition. Several numerical results are provided to validate the permutation combined with the hierarchical matrix and to reveal the efficiency and accuracy of the proposed scheme.
AB - With some rearrangement of the basis and testing functions, a permuted impedance matrix of the Poggio- Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equation is obtained, where the canonical hierarchical matrix-based direct solver can effectively function. In this paper, the feasibility of hierarchical matrix schemes in permuted PMCHWT is derived. Compared with using four hierarchical matrices on four submatrices in the classic formula, the method using hierarchical matrices on the permuted formula can reduce both the memory of storage and the time of decomposition. Several numerical results are provided to validate the permutation combined with the hierarchical matrix and to reveal the efficiency and accuracy of the proposed scheme.
UR - https://www.scopus.com/pages/publications/85174238830
U2 - 10.23919/ACES-China60289.2023.10250089
DO - 10.23919/ACES-China60289.2023.10250089
M3 - 会议稿件
AN - SCOPUS:85174238830
T3 - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023
BT - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 International Applied Computational Electromagnetics Society Symposium, ACES-China 2023
Y2 - 15 August 2023 through 18 August 2023
ER -