Ultraconvergence of Finite Element Method by Richardson Extrapolation for Elliptic Problems with Constant Coefficients
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Publication:5741068
DOI10.1137/15M1031710zbMath1342.65207OpenAlexW2491719029MaRDI QIDQ5741068
Runchang Lin, Zhimin Zhang, Wen-ming He
Publication date: 21 July 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1031710
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with inhomogeneous boundary conditions ⋮ Local ultraconvergence of finite element methods for <scp>second‐order</scp> elliptic problems with singularity ⋮ Local pointwise convergence of the 3D finite element ⋮ The optimal convergence of finite element methods for the three-dimensional second-order elliptic boundary value problem with singularity ⋮ Local superconvergence of post-processed high-order finite volume element solutions ⋮ Superconvergence of the high-degree FE method for second-degree elliptic problem with periodic boundary ⋮ Superconvergence of the space-time discontinuous Galerkin method for linear nonhomogeneous hyperbolic equations ⋮ Local ultraconvergence of quadratic element ⋮ Local ultraconvergence of linear and bilinear finite element method for second order elliptic problems ⋮ Local ultraconvergence of high order finite element method by interpolation postprocessing technique for elliptic problems with constant coefficients
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