A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws
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Publication:5253774
DOI10.1137/140970999zbMath1457.65107arXiv1405.7616OpenAlexW2138882090MaRDI QIDQ5253774
Jan Giesselmann, Tristan Pryer, Charalambos G. Makridakis
Publication date: 28 May 2015
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.7616
Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (14)
A wavelet-free approach for multiresolution-based grid adaptation for conservation laws ⋮ Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations ⋮ Relative entropy based error estimates for discontinuous Galerkin schemes ⋮ On Aposteriori Error Analysis of DG Schemes Approximating Hyperbolic Conservation Laws ⋮ A posteriori analysis for dynamic model adaptation in convection-dominated problems ⋮ Stabilizing discontinuous Galerkin methods using Dafermos' entropy rate criterion. I: One-dimensional conservation laws ⋮ A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws ⋮ Analysis of discontinuous Galerkin methods using mesh-dependent norms and applications to problems with rough data ⋮ Model Adaptation of Balance Laws Based on A Posteriori Error Estimates and Surrogate Fluxes ⋮ Recovered finite element methods on polygonal and polyhedral meshes ⋮ Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations ⋮ Error control for statistical solutions of hyperbolic systems of conservation laws ⋮ Conservative Galerkin methods for dispersive Hamiltonian problems ⋮ A Posteriori Analysis of Fully Discrete Method of Lines Discontinuous Galerkin Schemes for Systems of Conservation Laws
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