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SIAM J. on Scientific Computing / Volume 29 / Issue 6

SIAM J. Sci. Comput. 29, pp. 2258-2282 (25 pages)

A Discontinuous Galerkin Moving Mesh Method for Hamilton–Jacobi Equations

J. A. Mackenzie and A. Nicola

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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.

© 2007 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

35F25, 35L45, 35L65, 65M50, 65M60

PUBLICATION DATA

ISSN

1064-8275 (print)  
1095-7197 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received April 04, 2006
Accepted February 20, 2007
Published online October 05, 2007
Digital Object Identifier
http://dx.doi.org/10.1137/060656243

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