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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations

MacKenzie, John and Nicola, Aurelian (2007) A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations. SIAM Journal on Scientific Computing, 29 (6). pp. 2258-2282. ISSN 1064-8275

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Abstract

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.

Item type: Article
ID code: 41134
Keywords: adaptivity, moving meshes, discontinuous Galerkin finite elements, Hamlton-Jacobi equations, Electronic computers. Computer science, Computational Mathematics, Applied Mathematics
Subjects: Science > Mathematics > Electronic computers. Computer science
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Pure Administrator
Date Deposited: 14 Sep 2012 15:26
Last modified: 21 May 2015 14:55
URI: http://strathprints.strath.ac.uk/id/eprint/41134

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