TY - GEN
T1 - A Nonlinear DG-FETD Scheme Based on Parametric Variational Principle
AU - Zeng, Shubin
AU - Chen, Jiefu
AU - Zhu, Bao
AU - Ren, Qiang
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/3
Y1 - 2019/3
N2 - We propose a novel discontinuous Galerkin finite-element time-domain (DG-FETD) based on parametric variational principle to simulate nonlinear and multiscale electromagnetic problems. The nonlinear property of the material is reconstructed and solved based on the parametric quadratic programming method, and domain decomposition strategy with DG scheme is employed to deal with multiscale modeling. By solving the nonlinear constitutive relations as a series of linear complementary problems (LCP), this nonlinear DG-FETD scheme avoids updating the system matrices at each time step and presents a good convergence behavior. The DG method enables the non-conforming meshes between subdomains and also separate the nonlinear and electrically fine structure from other linear subdomains. Numerical examples demonstrate the efficiency and high flexibility of the nonlinear DG-FETD method.
AB - We propose a novel discontinuous Galerkin finite-element time-domain (DG-FETD) based on parametric variational principle to simulate nonlinear and multiscale electromagnetic problems. The nonlinear property of the material is reconstructed and solved based on the parametric quadratic programming method, and domain decomposition strategy with DG scheme is employed to deal with multiscale modeling. By solving the nonlinear constitutive relations as a series of linear complementary problems (LCP), this nonlinear DG-FETD scheme avoids updating the system matrices at each time step and presents a good convergence behavior. The DG method enables the non-conforming meshes between subdomains and also separate the nonlinear and electrically fine structure from other linear subdomains. Numerical examples demonstrate the efficiency and high flexibility of the nonlinear DG-FETD method.
UR - https://www.scopus.com/pages/publications/85070495512
U2 - 10.1109/COMPEM.2019.8779074
DO - 10.1109/COMPEM.2019.8779074
M3 - 会议稿件
AN - SCOPUS:85070495512
T3 - 2019 IEEE International Conference on Computational Electromagnetics, ICCEM 2019 - Proceedings
BT - 2019 IEEE International Conference on Computational Electromagnetics, ICCEM 2019 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 5th IEEE International Conference on Computational Electromagnetics, ICCEM 2019
Y2 - 20 March 2019 through 22 March 2019
ER -