Weak Galerkin finite element method for Poisson's equation on polytopal meshes with small edges or faces

DOI10.1016/j.cam.2019.112584zbMath1433.65294arXiv1805.00921OpenAlexW2988380949WikidataQ126835353 ScholiaQ126835353MaRDI QIDQ2292033

Qingguang Guan

Publication date: 31 January 2020

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

Full work available at URL: https://arxiv.org/abs/1805.00921

zbMATH Keywords

optimal convergence rateweak Galerkinsmall edges or faces

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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) Second-order elliptic equations (35J15)

Related Items (6)

Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version ⋮ Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces ⋮ A stabilizer‐free weak Galerkin finite element method to variable‐order time fractional diffusion equation in multiple space dimensions ⋮ A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions ⋮ Numerical analysis of energy stable weak Galerkin schemes for the Cahn-Hilliard equation ⋮ Staggered DG method with small edges for Darcy flows in fractured porous media

Uses Software

• PolyMesher

Cites Work

• Unnamed Item
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• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
• Sobolev Spaces

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