Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients

DOI10.1093/imanum/drab003zbMath1501.65109arXiv2008.01617OpenAlexW3137089258MaRDI QIDQ5075151

Alice Hodson, Andreas Dedner

Publication date: 10 May 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01617

zbMATH Keywords

perturbation problemvirtual element methodnonconformingfourth-order problemsDUNE

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) Nonlinear higher-order PDEs (35G20) Perturbations in context of PDEs (35B20) Linear higher-order PDEs (35G05)

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Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation ⋮ Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces ⋮ A \(C^0\)-nonconforming virtual element methods for the vibration and buckling problems of thin plates ⋮ A Morley-type virtual element approximation for a wind-driven ocean circulation model on polygonal meshes ⋮ The Morley-type virtual element method for the Navier-Stokes equations in stream-function form ⋮ Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation ⋮ Nonconforming virtual element discretization for the transmission eigenvalue problem

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