A new weak Galerkin finite element scheme for general second-order elliptic problems

DOI10.1016/j.cam.2018.05.021zbMath1394.65148OpenAlexW2809593026WikidataQ129683654 ScholiaQ129683654MaRDI QIDQ724561

Yunqing Huang, Yanping Chen, Guanrong Li

Publication date: 26 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.05.021

zbMATH Keywords

finite element methodsweak Galerkindiscrete gradientgeneral second-order elliptic problems

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) Second-order elliptic systems (35J47)

Related Items (8)

A P₀–P₀ weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problems ⋮ The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh ⋮ A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions ⋮ A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation ⋮ A new over-penalized weak Galerkin method. III: Convection-diffusion-reaction problems ⋮ $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations ⋮ A hybridized weak Galerkin finite element scheme for general second-order elliptic problems ⋮ A Robust Modified Weak Galerkin Finite Element Method for Reaction-Diffusion Equations

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