A stabilizer free weak Galerkin finite element method on polytopal mesh. III

DOI10.1016/j.cam.2021.113538zbMath1475.65172arXiv2009.08536OpenAlexW4250796588MaRDI QIDQ2029417

Shangyou Zhang, Xiu Ye

Publication date: 3 June 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08536

zbMATH Keywords

second-order elliptic problemssuperconvergencepolytopal meshesweak Galerkin 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) Variational methods for elliptic systems (35J50)

Related Items (10)

Superconvergence of a WG method for the Stokes equations with continuous pressure ⋮ Developing stabilizer free weak Galerkin finite element method for second-order wave equation ⋮ Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: Weak Galerkin Method ⋮ A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation ⋮ A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition ⋮ Weak Galerkin finite element methods with and without stabilizers for H(div;Ω)${\bf H}(\mbox{div}; \Omega )$‐elliptic problems ⋮ Virtual Element Methods Without Extrinsic Stabilization ⋮ Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients ⋮ A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model ⋮ A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh

Cites Work

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• The lowest-order stabilizer free weak Galerkin finite element method
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• A note on the optimal degree of the weak gradient of the stabilizer free weak Galerkin finite element method
• Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements
• Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes
• A weak Galerkin mixed finite element method for second order elliptic problems
• Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes
• Pressure Robust Weak Galerkin Finite Element Methods for Stokes Problems

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