The nonconforming virtual element method for fourth-order singular perturbation problem
type: Item
instance of: scholarly article
title: The nonconforming virtual element method for fourth-order singular perturbation problem
zbMATH Open document ID: 1436.65191
author: Bei Zhang
author: Jikun Zhao
author: Shaochun Chen
published in: Advances in Computational Mathematics
publication date: 2020-04-15T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 7189701
zbMATH Keywords: nonconforming virtual element
zbMATH Keywords: fourth-order singular perturbation problem
zbMATH Keywords: polygonal mesh
describes a project that uses: PolyMesher
MaRDI profile type: Publication
full work available at URL: s10444-020-09743-9
OpenAlex ID: W3006890668
cites work: Equivalent projectors for virtual element methods
cites work: The fully nonconforming virtual element method for biharmonic problems
cites work: The nonconforming virtual element method
cites work: BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
cites work: SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
cites work: A $\mathcal{C}^0$ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem
cites work: Some estimates for virtual element methods
cites work: Q4300595
cites work: Virtual element methods for plate bending problems
cites work: The NonConforming Virtual Element Method for the Stokes Equations
cites work: Conforming and nonconforming virtual element methods for elliptic problems
cites work: Uniformly Convergent Nonconforming Element for 3-D Fourth Order Elliptic Singular Perturbation Problem
cites work: Uniformly convergent C0‐nonconforming triangular prism element for fourth‐order elliptic singular perturbation problem
cites work: Some error analysis on virtual element methods
cites work: Nonconforming Virtual Element Method for $2m$th Order Partial Differential Equations in $\mathbb {R}^n$
cites work: Q3585700
cites work: Q4673348
cites work: Virtual element method for fourth order problems: \(L^2\)-estimates
cites work: Q4162607
cites work: A family of non-conforming elements and the analysis of Nitsche's method for a singularly perturbed fourth order problem
cites work: Q4082392
cites work: A nonconforming virtual element method for the Stokes problem on general meshes
cites work: A robust nonconforming \(H^2\)-element
cites work: \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
cites work: Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems
cites work: Q3516560
cites work: Q5488731
cites work: Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem
cites work: The nonconforming virtual element method for elasticity problems
cites work: The nonconforming virtual element method for plate bending problems
cites work: The Morley-type virtual element for plate bending problems
cites work: The Divergence-Free Nonconforming Virtual Element for the Stokes Problem
cites work: The nonconforming virtual element method for parabolic problems
DOI: 10.1007/S10444-020-09743-9
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description: scientific article; zbMATH DE number 7189701