Discontinuous Galerkin discretizations and analysis for the Cohen-Monk PML model

被引：3

作者：

Huang, Yunqing ^{[1
]}

Li, Jichun ^{[2
]}

Li, Chanjie ^{[3
]}

Qu, Kai ^{[3
]}

机构：

[1] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan, Peoples R China

[2] Univ Nevada Las Vegas, Dept Math Sci, Las Vegas, NV 89154 USA

[3] Dalian Maritime Univ, Coll Sci, Dalian, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 407卷

关键词：

Maxwell's equations; Perfectly Matched Layer; Discontinuous Galerkin method; TIME-DOMAIN METHOD; MAXWELLS EQUATIONS; WAVE-PROPAGATION; ELEMENT-METHOD; SCHEMES; LAYERS;

D O I：

10.1016/j.cam.2021.114031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the two-dimensional (2-D) perfectly matched layer (PML) models reformulated from the 3-D PML model originally developed by Cohen and Monk in 1999. We propose the discontinuous Galerkin methods for solving both 2-D TMz and TEz models. We establish the proofs of the stability and error estimate for the proposed schemes. Finally, numerical results are presented to demonstrate the accuracy and performance of our method. (c) 2021 Elsevier B.V. All rights reserved.

引用

页数：19

共 50 条

[1] Development and analysis of a new finite element method for the Cohen-Monk PML model
Chen, Meng
Huang, Yunqing
Li, Jichun
NUMERISCHE MATHEMATIK, 2021, 147 (01) : 127 - 155
[2] Adjoint consistency analysis of discontinuous Galerkin discretizations
Hartmann, Ralf
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (06) : 2671 - 2696
[3] Development and analysis of a new finite element method for the Cohen–Monk PML model
Meng Chen
Yunqing Huang
Jichun Li
Numerische Mathematik, 2021, 147 : 127 - 155
[4] ANALYSIS OF DUAL CONSISTENCY FOR DISCONTINUOUS GALERKIN DISCRETIZATIONS OF SOURCE TERMS
Oliver, Todd A.
Darmofal, David L.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (05) : 3507 - 3525
[5] Preconditioning methods for local discontinuous Galerkin discretizations
Kanschat, G
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2003, 25 (03): : 815 - 831
[6] A UNIFIED ANALYSIS OF BALANCING DOMAIN DECOMPOSITION BY CONSTRAINTS FOR DISCONTINUOUS GALERKIN DISCRETIZATIONS
Diosady, Laslo T.
Darmofal, David L.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2012, 50 (03) : 1695 - 1712
[7] Analysis of bddc algorithms for stokes problems with hybridizable discontinuous galerkin discretizations
TU, XUEMIN
WANG, BIN
ZHANG, JINJIN
Electronic Transactions on Numerical Analysis, 2020, 52 : 553 - 570
[8] ANALYSIS OF BDDC ALGORITHMS FOR STOKES PROBLEMS WITH HYBRIDIZABLE DISCONTINUOUS GALERKIN DISCRETIZATIONS
Tu, Xuemin
Wang, Bin
Zhang, Jinjin
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2020, 52 : 553 - 570
[9] PML in Discontinuous Galerkin Time Domain Methods
Stylianos, Dosopoulos
Rawat, Vineet
Lee, Jin-Fa
2009 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM AND USNC/URSI NATIONAL RADIO SCIENCE MEETING, VOLS 1-6, 2009, : 3023 - 3026
[10] Analysis of an a posteriori error estimator for the transport equation with SN and discontinuous Galerkin discretizations
Fournier, D.
Le Tellier, R.
Suteau, C.
ANNALS OF NUCLEAR ENERGY, 2011, 38 (2-3) : 221 - 231

← 1 2 3 4 5 →