Supercloseness analysis and polynomial preserving Recovery for a class of weak Galerkin Methods

DOI10.1002/num.22201zbMath1390.65150arXiv1610.05626OpenAlexW2534626330MaRDI QIDQ4603183

Ruishu Wang, Ran Zhang, Xu Zhang, Zhimin Zhang

Publication date: 19 February 2018

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

Full work available at URL: https://arxiv.org/abs/1610.05626

zbMATH Keywords

superconvergencesecond-order elliptic equationsuperclosenessweak Galerkin methodpolynomial preserving recovery

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

A family of interior-penalized weak Galerkin methods for second-order elliptic equations ⋮ Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations ⋮ Supercloseness of weak Galerkin method for a singularly perturbed convection-diffusion problem in 2D ⋮ The adaptive SAV weak Galerkin finite element method for the Allen-Cahn equation ⋮ A locking-free weak Galerkin finite element method for linear elasticity problems ⋮ Superconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensions ⋮ Supercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1D ⋮ A numerical study of superconvergence of the discontinuous Galerkin method by patch reconstruction ⋮ Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions ⋮ Polynomial preserving recovery for a class of weak Galerkin finite element methods ⋮ A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems

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