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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
    Related URLs:
      Depositing user: Pure Administrator
      Date Deposited: 14 Sep 2012 16:26
      Last modified: 06 Sep 2014 13:42
      URI: http://strathprints.strath.ac.uk/id/eprint/41134

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