Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise

被引：7
|
作者：
Sun, Jiawei [1 ]
Shu, Chi-Wang [2 ]
Xing, Yulong [1 ]
机构：
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2023年 / 57卷 / 02期
关键词：
Discontinuous Galerkin methods; stochastic Maxwell equations; multiplicative noise; energy law; optimal error estimate; FINITE-ELEMENT-METHOD; CONSERVATION-LAWS;
D O I：
10.1051/m2an/2022084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose and analyze finite element discontinuous Galerkin methods for the one- and two-dimensional stochastic Maxwell equations with multiplicative noise. The discrete energy law of the semi-discrete DG methods were studied. Optimal error estimate of the semi-discrete method is obtained for the one-dimensional case, and the two-dimensional case on both rectangular meshes and triangular meshes under certain mesh assumptions. Strong Taylor 2.0 scheme is used as the temporal discretization. Both one- and two-dimensional numerical results are presented to validate the theoretical analysis results.
引用
收藏
页码：841 / 864
页数：24
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