Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem

DOI10.1007/s10444-017-9572-6zbMath1397.65296arXiv1712.08863OpenAlexW2964105749MaRDI QIDQ1670402

Kai Tang, Xuehai Huang, Ruiyue Zhou, Wen-Qing Wang

Publication date: 5 September 2018

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

Full work available at URL: https://arxiv.org/abs/1712.08863

zbMATH Keywords

error analysisinterior penalty methodfourth-order singular perturbation problemMorley-Wang-Xu elementsuper penalty method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) 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 higher-order elliptic equations (35J35)

Related Items

Hybrid high-order method for singularly perturbed fourth-order problems on curved domains, 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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