Superconvergence of numerical gradient for weak Galerkin finite element methods on nonuniform Cartesian partitions in three dimensions

DOI10.1016/j.camwa.2019.03.010zbMath1442.65380arXiv1810.08084OpenAlexW2963492535WikidataQ128144238 ScholiaQ128144238MaRDI QIDQ2203162

Dan Li, Chunmei Wang, Yu-Feng Nie

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.08084

zbMATH Keywords

superconvergencethree dimensionsweak Galerkin finite element methodsecond order elliptic problemnon-uniform cubic partitions

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 (9)

Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations ⋮ The adaptive SAV weak Galerkin finite element method for the Allen-Cahn equation ⋮ Curved elements in weak Galerkin finite element methods ⋮ New primal-dual weak Galerkin finite element methods for convection-diffusion problems ⋮ A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems ⋮ Superconvergence of the gradient approximation for weak Galerkin finite element methods on nonuniform rectangular partitions ⋮ A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh ⋮ A recovery-based a posteriori error estimator of the weak Galerkin finite element method for elliptic problems ⋮ An \(L^p\)-primal-dual weak Galerkin method for convection-diffusion equations

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