A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method

DOI10.1093/imanum/drz004zbMath1464.65124arXiv1709.04351OpenAlexW2756354849MaRDI QIDQ5109469

Jan Giesselmann, Fabian Meyer, Christian Rohde

Publication date: 12 May 2020

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04351

zbMATH Keywords

relative entropydiscontinuous Galerkin methodhyperbolic conservation lawsa posteriori error estimatesstochastic Galerkin methodrandom PDEs

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (6)

A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws ⋮ A flux reconstruction stochastic Galerkin scheme for hyperbolic conservation laws ⋮ A Posteriori Validation of Generalized Polynomial Chaos Expansions ⋮ Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws ⋮ Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations ⋮ Error control for statistical solutions of hyperbolic systems of conservation laws

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