Affiliation:
1. Institut für Geometrie und Praktische Mathematik , RWTH Aachen University, Templergraben 55, D-52056 Aachen, Germany
Abstract
Abstract
A multiresolution analysis (MRA) 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. An MRA 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.
Funder
Deutsche Forschungsgemeinschaft
Germany’s Excellence Strategy EXC-2023 Internet of Production
Excellence Strategy of the Federal Government and the Länder
EU project DATAHYKING
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Computational Mathematics,General Mathematics
Cited by
1 articles.
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