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Multiresolution Schemes on Triangles for Scalar Conservation Laws

✍ Scribed by Albert Cohen; Nira Dyn; Sidi Mahmoud Kaber; Marie Postel

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
322 KB
Volume
161
Category
Article
ISSN
0021-9991

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✦ Synopsis

This paper proposes a multiresolution procedure adapted to triangular cell-averages to improve the performance of finite volume schemes by reducing flux evaluation cost, using the approach introduced by A. Harten. A specific coarse-to-fine prediction scheme is proposed that ensures the stability of the computations, even when a large number of scales are involved. Numerical tests are presented that illustrate the computational gain as well as the order of accuracy of the scheme.

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