A hybridized formulation for the weak Galerkin mixed finite element method

DOI10.1016/j.cam.2016.01.004zbMath1338.76063arXiv1508.05695OpenAlexW2234206965WikidataQ62727748 ScholiaQ62727748MaRDI QIDQ298249

Junping Wang, Lin Mu, Xiu Ye

Publication date: 20 June 2016

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

Full work available at URL: https://arxiv.org/abs/1508.05695

zbMATH Keywords

second-order elliptic problemsfinite element methodsweak Galerkindiscrete weak divergencehybridized mixed finite element methods

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Variational methods for second-order elliptic equations (35J20) First-order elliptic systems (35J46)

Related Items (13)

Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form ⋮ A weak Galerkin method for the Reissner-Mindlin plate in primary form ⋮ A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems ⋮ Analysis of HDG method for the reaction-diffusion equations ⋮ An adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problem ⋮ A hybridized weak Galerkin finite element scheme for linear elasticity problem ⋮ A mixed virtual element method for nearly incompressible linear elasticity equations ⋮ Hybridized weak Galerkin finite element methods for Brinkman equations ⋮ Weak Galerkin mixed finite element methods for parabolic equations with memory ⋮ Unified Geometric Multigrid Algorithm for Hybridized High-Order Finite Element Methods ⋮ A hybridized weak Galerkin finite element scheme for general second-order elliptic problems ⋮ Analysis of a weak Galerkin method for second-order elliptic equations with minimal regularity on polytopal meshes ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method

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