Some estimates of virtual element methods for fourth order problems

DOI10.3934/era.2021074zbMath1478.65126arXiv1805.00918OpenAlexW3199721751MaRDI QIDQ2055214

Qingguang Guan

Publication date: 3 December 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00918

zbMATH Keywords

error estimatesfourth ordervirtual element methodprojection and interpolation operatorsshape regularity

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (3)

A posteriori error estimation for a \(C^1\) virtual element method of Kirchhoff plates ⋮ A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form ⋮ Weak Galerkin finite element method for Poisson's equation on polytopal meshes with small edges or faces

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