Interior estimates for the virtual element method

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) Second-order elliptic equations (35J15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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$H(\mathrm{div})$ and $H(\mathbf{curl})$-conforming virtual element methods
Equivalent projectors for virtual element methods
The virtual element method for a minimal surface problem
Serendipity nodal VEM spaces
On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
A posteriori error estimates for the virtual element method
A virtual element method for contact
BDDC and FETI-DP for the virtual element method
Efficient virtual element formulations for compressible and incompressible finite deformations
Parallel block preconditioners for three-dimensional virtual element discretizations of saddle-point problems
$p$- and $hp$-virtual elements for the Stokes problem
Virtual elements for Maxwell's equations
An overlapping Schwarz method for virtual element discretizations in two dimensions
Parallel solvers for virtual element discretizations of elliptic equations in mixed form
Some estimates for virtual element methods
Some basic formulations of the virtual element method (VEM) for finite deformations
High order VEM on curved domains
A virtual element method for elastic and inelastic problems on polytope meshes
Mixed virtual element methods for general second order elliptic problems on polygonal meshes
A plane wave virtual element method for the Helmholtz problem
Virtual Elements for Linear Elasticity Problems
Divergence free virtual elements for the stokes problem on polygonal meshes
Basic principles of hp virtual elements on quasiuniform meshes
A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
Polynomial Approximation of Functions in Sobolev Spaces
Interior Estimates for Ritz-Galerkin Methods
Interior Maximum Norm Estimates for Finite Element Methods
Virtual element methods on meshes with small edges or faces
Stability analysis for the virtual element method
Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
Interior Maximum-Norm Estimates for Finite Element Methods, Part II
BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
The discrete commutator property of approximation spaces
Sharper Error Estimates for Virtual Elements and a Bubble-Enriched Version
FETI-DP for the Three Dimensional Virtual Element Method
Polynomial preserving virtual elements with curved edges
The Hitchhiker's Guide to the Virtual Element Method
A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes

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