Fully discrete finite element approaches for time-dependent Maxwell's equations

被引：0

作者：

Ciarlet, P

Zou, J ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Dept Math, Shatin, NT, Peoples R China

[2] Ecole Natl Super Tech Avancees, F-75739 Paris 15, France

来源：

NUMERISCHE MATHEMATIK | 1999年 / 82卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's equations in three dimensional polyhedral domains. Optimal energy-norm error estimates are achieved for general Lipschitz polyhedral domains. Optimal L-2-norm error estimates are obtained for convex polyhedral domains.

引用

页码：193 / 219

页数：27

共 50 条

[1] Fully discrete finite element approaches for time-dependent Maxwell's equations
Ciarlet Jr. P.
Zou J.
[J]. Numerische Mathematik, 1999, 82 (2) : 193 - 219
[2] Finite element study of time-dependent Maxwell's equations in dispersive media
Li, Jichun
Chen, Yitung
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (05) : 1203 - 1221
[3] Nonconforming Finite Element Approximation of Time-Dependent Maxwell's Equations in Debye Medium
Shi, Dongyang
Yao, Changhui
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (05) : 1654 - 1673
[4] Nonconforming Mixed Finite Element Method for Time-dependent Maxwell's Equations with ABC
Yao, Changhui
Shi, Dongyang
[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2016, 9 (02) : 193 - 214
[5] Convergence of finite element A-φ method for solving time-dependent Maxwell's equations
Ma, Changfeng
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 176 (02) : 621 - 631
[6] A Finite Element Technique for a System of Fully-discrete Time-dependent Joule Heating Equations
Chin, Pius W. M.
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
[7] A fully discrete stabilized finite element method for the time-dependent Navier-Stokes equations
Shan, Li
Hou, Yanren
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) : 85 - 99
[8] Fully discrete finite element method for Maxwell's equations with nonlinear conductivity
Durand, Stephane
Slodicka, Marian
[J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 31 (04) : 1713 - 1733
[9] Fully Discrete A-φ Finite Element Method for Maxwell's Equations with Nonlinear Conductivity
Kang, Tong
Chen, Tao
Zhang, Huai
Kim, Kwang Ik
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (06) : 2083 - 2108
[10] Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise
Feng, Xiaobing
Qiu, Hailong
[J]. JOURNAL OF SCIENTIFIC COMPUTING, 2021, 88 (02)

← 1 2 3 4 5 →