A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

被引：6
|
作者：
Mackenzie, J. A.
Nicola, A.
机构：
[1] Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland
[2] Univ Ovidius, Fac Math & Comp Sci, RO-900527 Constanta, Romania
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2007年 / 29卷 / 06期
关键词：
adaptivity; moving meshes; discontinuous Galerkin finite elements; Hamilton Jacobi equations;
D O I：
10.1137/060656243
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive r-refinement (mesh movement) strategy. Particular attention is given to the choice of an appropriate adaptivity criterion when the solution becomes discontinuous. Numerical examples in one and two dimensions are presented to demonstrate the effectiveness of the adaptive procedure.
引用
收藏
页码：2258 / 2282
页数：25
相关论文
共 50 条
12345