A stabilizer free weak Galerkin finite element method for parabolic equation

DOI10.1016/j.cam.2020.113373zbMath1468.65183OpenAlexW3128593186MaRDI QIDQ2020494

Ahmed Al-Taweel, Saqib Hussain, Xiao Shen Wang

Publication date: 23 April 2021

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.2020.113373

zbMATH Keywords

error estimatesparabolic problemweak Galerkin finite element methodsweak gradientstabilizer free

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

A hybrid high-order method for the Sobolev equation ⋮ A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes ⋮ Developing stabilizer free weak Galerkin finite element method for second-order wave equation ⋮ Unconditionally optimal error estimates of a linearized weak Galerkin finite element method for semilinear parabolic equations ⋮ A stabilizer free weak Galerkin finite element method for second‐order Sobolev equation ⋮ Supercloseness analysis of a stabilizer free weak Galerkin finite element method for time dependent convection diffusion reaction equation ⋮ A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions ⋮ Supercloseness analysis of a stabilizer-free weak Galerkin finite element method for viscoelastic wave equations with variable coefficients

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