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SIAM J. on Scientific Computing / Volume 28 / Issue 6

SIAM J. Sci. Comput. 28, pp. 2229-2247 (19 pages)

Central WENO Schemes for Hamilton–Jacobi Equations on Triangular Meshes

Doron Levy, Suhas Nayak, Chi‐Wang Shu, and Yong‐Tao Zhang

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We derive Godunov‐type semidiscrete central schemes for Hamilton–Jacobi equations on triangular meshes. High‐order schemes are then obtained by combining our new numerical fluxes with high‐order WENO reconstructions on triangular meshes. The numerical fluxes are shown to be monotone in certain cases. The accuracy and high‐resolution properties of our scheme are demonstrated in a variety of numerical examples.

© 2006 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

65M06, 35L99

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 July 20, 2004
Accepted June 22, 2006
Published online December 11, 2006
Digital Object Identifier
http://dx.doi.org/10.1137/040612002

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