Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise
Numerical Analysis
2022-04-21 v1 Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2204.09632,
title = {Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise},
author = {Jiawei Sun and Chi-Wang Shu and Yulong Xing},
journal= {arXiv preprint arXiv:2204.09632},
year = {2022}
}