A modified weak Galerkin finite element method for the biharmonic equation on polytopal meshes

DOI10.1007/s42967-020-00071-9zbMath1476.65296OpenAlexW3035243708MaRDI QIDQ2667339

Shangyou Zhang, Ming Cui, Xiu Ye

Publication date: 24 November 2021

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-020-00071-9

zbMATH Keywords

finite element methodsbiharmonic equationsweak Laplacianpolytopal meshes

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Development of a LDG method on polytopal mesh with optimal order of convergence ⋮ A modified weak Galerkin finite element method for parabolic equations on anisotropic meshes ⋮ A posteriori error estimate for a modified weak Galerkin method of 2D \(\boldsymbol{H}(\mathrm{curl})\) elliptic problems ⋮ A locking-free weak Galerkin finite element method for linear elasticity problems

Cites Work

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• A modified weak Galerkin finite element method for the Stokes equations
• \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation
• A family of 3D continuously differentiable finite elements on tetrahedral grids
• \(hp\)-version interior penalty DGFEMs for the biharmonic equation
• A weak Galerkin finite element method for second-order elliptic problems
• A stabilizer-free weak Galerkin finite element method on polytopal meshes
• A modified weak Galerkin finite element method
• An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
• The Lowest Order Differentiable Finite Element on Rectangular Grids
• A weak Galerkin mixed finite element method for second order elliptic problems
• A Priori Error Analysis for the hp-Version of the Discontinuous Galerkin Finite Element Method for the Biharmonic Equation
• Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes
• Discontinuous Galerkin methods for the biharmonic problem
• Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
• A C1-P2 finite element without nodal basis
• The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids

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