Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem

DOI10.4208/JCM.1405-M4303zbMath1324.65140OpenAlexW2112531719MaRDI QIDQ5259968

Hongru Chen, Shao-Chun Chen

Publication date: 29 June 2015

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

Full work available at URL: https://doi.org/10.4208/jcm.1405-m4303

zbMATH Keywords

convergencesingular perturbation problemnonconforming finite elementfourth order elliptic problemuniform error estimates

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) 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) Higher-order elliptic equations (35J30)

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Anisotropic adaptive finite element method for magnetohydrodynamic flow at high Hartmann numbers ⋮ Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem ⋮ The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems ⋮ The virtual element method with interior penalty for the fourth-order singular perturbation problem ⋮ The nonconforming virtual element method for fourth-order singular perturbation problem ⋮ Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions ⋮ A Morley-Wang-Xu element method for a fourth order elliptic singular perturbation problem ⋮ On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation

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