Abstract
Multiresolution analysis is used to improve the performances of a Finite Volumes scheme. Two schemes coupling Multiresolution and Finite Volumes are presented. One is a generalisation of Harten’s original scheme for triangles. The other scheme is fully adaptive in the sense that at a given time, the solution is represented in a compressed form by a set of significant wavelets coefficients. The two schemes are applied to solve the Euler’s system of gas dynamics.
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Cohen, A., Kaber, S.M., Postel, M. (2001). Multiresolution Analysis on Triangles: Application to Gas Dynamics. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_27
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DOI: https://doi.org/10.1007/978-3-0348-8370-2_27
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9537-8
Online ISBN: 978-3-0348-8370-2
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