Ultraconvergence of high order FEMs for elliptic problems with variable coefficients

DOI10.1007/s00211-016-0838-6zbMath1365.65254OpenAlexW2509102421MaRDI QIDQ527823

Zhimin Zhang, Qingsong Zou, Wen-ming He

Publication date: 12 May 2017

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-016-0838-6

zbMATH Keywords

numerical experimentssecond-order elliptic problemsRichardson extrapolationvariable coefficientsultraconvergencehigh-order finite element methods

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Local ultraconvergence of finite element methods for <scp>second‐order</scp> elliptic problems with singularity ⋮ Global \(L^2\) superconvergence of the tetrahedral quadratic finite element ⋮ The optimal convergence of finite element methods for the three-dimensional second-order elliptic boundary value problem with singularity ⋮ Superconvergence of the high-degree FE method for second-degree elliptic problem with periodic boundary ⋮ Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients ⋮ 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 ⋮ Optimal Maximum Norm Estimates for Virtual Element Methods

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