A posteriori error estimator based on derivative recovery for the discontinuous Galerkin method for nonlinear hyperbolic conservation laws on Cartesian grids

DOI10.1002/num.22141zbMath1376.65121OpenAlexW2603793045MaRDI QIDQ5349271

Publication date: 24 August 2017

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22141

zbMATH Keywords

Galerkin finite element method Runge-Kutta method semidiscretization nonlinear hyperbolic conservation laws a posteriori error estimator numerical result

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

Optimal error estimates of the local discontinuous Galerkin method for nonlinear second‐order elliptic problems on Cartesian grids ⋮ A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids ⋮ The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law ⋮ Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution ⋮ Two efficient and reliable a posteriori error estimates for the local discontinuous Galerkin method applied to linear elliptic problems on Cartesian grids

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