TY - JOUR
T1 - A Coarse-Grained Integral Equation Method for Multiscale Electromagnetic Analysis
AU - Gao, Hong Wei
AU - Peng, Zhen
AU - Sheng, Xin Qing
N1 - Funding Information:
Manuscript received February 12, 2017; revised October 2, 2017; accepted December 4, 2017. Date of publication January 15, 2018; date of current version March 1, 2018. This work was supported in part by the U.S. National Science Foundation under Award #CCF-1526605, in part by the National Post-Doctoral Program for Innovative Talents of China under Grant BX201700033, and in part by the China Post-Doctoral Science Foundation under Grant 2017M620639. (Corresponding author: Zhen Peng.) H.-W. Gao is with the School of Information and Electronics, Beijing Institute of Technology, Beijing 10081, China, and also with the Department of Electrical and Computer Engineering, University of New Mexico, Albuquerque, NM 87131 USA (e-mail: gaohwfd@hotmail.com).
Publisher Copyright:
© 1963-2012 IEEE.
PY - 2018/3
Y1 - 2018/3
N2 - Nowadays, increasing demands are placed on enhancements of the model fidelity in electromagnetic (EM) analysis. One major difficulty comes from the multiscale nature of the high-definition geometry, in which the spatial scales differ by orders of magnitude. It often leads to strongly nonuniform discretizations, and a large, dense, and ill-conditioned matrix equation to solve. The work investigates an adaptive coarse-graining domain decomposition method for the integral equation-based solution of large, complex EM problems. A parallel and multilevel skeletonization approach is employed to construct effective coarse-grid basis functions locally per subdomain. The benefits of the work include a well-preconditioned system, an effective matrix compression, and the reduced computational costs. The numerical results validate the hypothesis and demonstrate a considerable reduction in the computational complexity for multiscale problems of interest.
AB - Nowadays, increasing demands are placed on enhancements of the model fidelity in electromagnetic (EM) analysis. One major difficulty comes from the multiscale nature of the high-definition geometry, in which the spatial scales differ by orders of magnitude. It often leads to strongly nonuniform discretizations, and a large, dense, and ill-conditioned matrix equation to solve. The work investigates an adaptive coarse-graining domain decomposition method for the integral equation-based solution of large, complex EM problems. A parallel and multilevel skeletonization approach is employed to construct effective coarse-grid basis functions locally per subdomain. The benefits of the work include a well-preconditioned system, an effective matrix compression, and the reduced computational costs. The numerical results validate the hypothesis and demonstrate a considerable reduction in the computational complexity for multiscale problems of interest.
KW - Domain decomposition (DD)
KW - electromagnetic (EM) scattering
KW - integral equations (IEs)
KW - multiresolution techniques
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U2 - 10.1109/TAP.2018.2794059
DO - 10.1109/TAP.2018.2794059
M3 - Article
AN - SCOPUS:85041641897
SN - 0018-926X
VL - 66
SP - 1607
EP - 1612
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 3
ER -