{
  "id": "2204.09632",
  "version": "v1",
  "published": "2022-04-20T17:22:45.000Z",
  "updated": "2022-04-20T17:22:45.000Z",
  "title": "Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise",
  "authors": [
    "Jiawei Sun",
    "Chi-Wang Shu",
    "Yulong Xing"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-20T17:22:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplicative noise",
      "analyze finite element discontinuous galerkin",
      "finite element discontinuous galerkin methods",
      "two-dimensional stochastic maxwell equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}