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Adaptive multiresolution for finite volume solutions of gas dynamics. (English) Zbl 1009.76520
Summary: Multiresolution analysis is used to improve the CPU and memory performance of a finite volume scheme. Departing from Harten’s original scheme we present a fully adaptive scheme in the sense that at a given time, the solution is represented in a compressed form by a set of significant wavelet coefficients. Numerical benchmarks for Euler’s system of compressible gas dynamics are performed on triangular meshes.

76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics, general
Full Text: DOI
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