TY - GEN
T1 - Parallel discontinuous Galerkin surface integral equation method for solving large and complex PEC scattering problems
AU - Yulin, Du
AU - Xiaowei, Huang
AU - Minglin, Yang
AU - Xinqing, Sheng
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/12/7
Y1 - 2020/12/7
N2 - We present flexible and efficient solutions of large-scale scattering problems involving three-dimensional conductors with arbitrary shapes using the parallel discontinuous Galerkin (DG) surface integral equation (SIE) method. The use of DG domain decomposition framework allows conformal as well as nonconformal surface discretizations of the targets thus brings significant flexibility in the meshing. The coefficient of the interior penalty term of the conventional DG is specially set to avoid extra treatment on the contour boundary to further improve its flexibility. To reduce the number of iterations required for the solutions, two types of preconditioners are applied by using the near-field matrix of the whole region. The well-scaling ternary parallelization approach of the multilevel fast multipole algorithm (MLFMA) is employed for solving problems involving over billions of unknowns. Numerical results are included to validate the accuracy and demonstrate the versatility of the proposed method. In addition, we present the effectiveness of our algorithm by solving a complicated aircraft mode with inlets involving 624 million unknowns.
AB - We present flexible and efficient solutions of large-scale scattering problems involving three-dimensional conductors with arbitrary shapes using the parallel discontinuous Galerkin (DG) surface integral equation (SIE) method. The use of DG domain decomposition framework allows conformal as well as nonconformal surface discretizations of the targets thus brings significant flexibility in the meshing. The coefficient of the interior penalty term of the conventional DG is specially set to avoid extra treatment on the contour boundary to further improve its flexibility. To reduce the number of iterations required for the solutions, two types of preconditioners are applied by using the near-field matrix of the whole region. The well-scaling ternary parallelization approach of the multilevel fast multipole algorithm (MLFMA) is employed for solving problems involving over billions of unknowns. Numerical results are included to validate the accuracy and demonstrate the versatility of the proposed method. In addition, we present the effectiveness of our algorithm by solving a complicated aircraft mode with inlets involving 624 million unknowns.
KW - Discontinuous Galerkin
KW - large-scale scattering problems
KW - multilevel fast multipole algorithm
KW - parallelization
KW - surface integral equation
UR - http://www.scopus.com/inward/record.url?scp=85101291161&partnerID=8YFLogxK
U2 - 10.1109/NEMO49486.2020.9343494
DO - 10.1109/NEMO49486.2020.9343494
M3 - Conference contribution
AN - SCOPUS:85101291161
T3 - 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2020
BT - 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization, NEMO 2020
Y2 - 7 December 2020 through 9 December 2020
ER -