Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 01, 2023
- Source ID
- 10.1051/m2an/2022084
Entities
People
- Chi-Wang Shu
- Jiawei Sun
- Yulong Xing
Organizations
- Air Force Office of Scientific Research
- National Science Foundation