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

页码：841 / 864

页数：24

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