A posteriori error analysis of the discontinuous finite element methods for first order hyperbolic problems

DOI10.1016/j.amc.2011.06.059zbMath1242.65187OpenAlexW1973000602MaRDI QIDQ654644

Nan Feng, Tie Zhang

Publication date: 29 December 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.06.059

zbMATH Keywords

a posteriori error analysisdiscontinuous Galerkin finite element approximationfirst-order hyperbolic scale equationsimplicit Euler time scheme

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) 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) First-order hyperbolic systems (35L40)

Related Items (4)

Superconvergence and \textit{a posteriori} error estimates of the DG method for scalar hyperbolic problems on Cartesian grids ⋮ A posteriori error estimates of a DG method for optimal control problems governed by the transport equation ⋮ Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations ⋮ A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

Cites Work

• A posteriori error estimators for convection-diffusion equations
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• hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems
• Symmetric positive linear differential equations
• A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
• Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
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• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
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• An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
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