Multiresolution-analysis for stochastic hyperbolic conservation laws
RWTH Publications (RWTH Aachen)
Abstract
A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher dimensional deterministic problem, a discontinuous Galerkin (DG) solver is derived. A multiresolution analysis of the DG spaces for the proposed adaptation strategy is presented. Numerical results show that in the case of general stochastic distributions the performance of the DG solver is significantly improved by the novel adaptive strategy. The gain in efficiency is validated in computational experiments.
Authors 3
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Michaël Herty Aachen
Affiliation as printed
RWTH Aachen
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Adrian Kolb Aachen
Affiliation as printed
RWTH Aachen
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Siegfried Müller Aachen
Affiliation as printed
RWTH Aachen
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