531 RWTH Publication No: 843343        2022       
TITLE Multiresolution-analysis for stochastic hyperbolic conservation laws
AUTHORS Michael Herty, Adrian Kolb, Siegfried Müller
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.
KEYWORDS Hyperbolic conservation laws · uncertainty quantification · discontinuous Galerkin methods · multiresolution analysis
DOI 10.1093/imanum/drad010
PUBLICATION IMA journal of numerical analysis
ImpressumOxford : Oxford Univ. Press
ISSN 0272-4979
Published: 20 March 2023