We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions
In recent years, the numerical treatment of boundary value problems with the help of polygonal and p...
We show both theoretically and numerically a connection between the smoothed finite element method (...
There exist at least three first-order finite volume element methods with totally different dual mes...
We consider a model Poisson problem in Rd (d = 2, 3) and establish error estimates for virtual eleme...
Some error analyses on virtual element methods (VEMs) including inverse inequalities, norm equivalen...
An posteriori error analysis for the virtual element method (VEM) applied to general elliptic proble...
Consistent discretizations of differential equations on polygonal and polyhedral grids is an active ...
A residual based a posteriori error estimate for the Poisson problem with discontinuous diffusivity ...
We present in a unified framework new conforming and nonconforming Virtual Element Methods (VEM) for...
In this article, we investigate the behavior of the condition number of the stiffness matrix resulti...
We develop and analyse a new family of virtual element methods on unstructured polygonal meshes for ...
The virtual element method (VEM) is a recent technology that can make use of very general polygonal/...
Due to its unique and intriguing properties, polygonal and polyhedral discretization is an emerging ...
In this paper we analyze a virtual element method for the two dimensional elasticity problem allowin...
We derive an anisotropic a posteriori error estimate for the adaptive conforming virtual element app...
In recent years, the numerical treatment of boundary value problems with the help of polygonal and p...
We show both theoretically and numerically a connection between the smoothed finite element method (...
There exist at least three first-order finite volume element methods with totally different dual mes...
We consider a model Poisson problem in Rd (d = 2, 3) and establish error estimates for virtual eleme...
Some error analyses on virtual element methods (VEMs) including inverse inequalities, norm equivalen...
An posteriori error analysis for the virtual element method (VEM) applied to general elliptic proble...
Consistent discretizations of differential equations on polygonal and polyhedral grids is an active ...
A residual based a posteriori error estimate for the Poisson problem with discontinuous diffusivity ...
We present in a unified framework new conforming and nonconforming Virtual Element Methods (VEM) for...
In this article, we investigate the behavior of the condition number of the stiffness matrix resulti...
We develop and analyse a new family of virtual element methods on unstructured polygonal meshes for ...
The virtual element method (VEM) is a recent technology that can make use of very general polygonal/...
Due to its unique and intriguing properties, polygonal and polyhedral discretization is an emerging ...
In this paper we analyze a virtual element method for the two dimensional elasticity problem allowin...
We derive an anisotropic a posteriori error estimate for the adaptive conforming virtual element app...
In recent years, the numerical treatment of boundary value problems with the help of polygonal and p...
We show both theoretically and numerically a connection between the smoothed finite element method (...
There exist at least three first-order finite volume element methods with totally different dual mes...