In this paper, a novel higher stabilization-free virtual element method is proposed for
compressible hyper-elastic materials in 2D. Different from the most traditional virtual element …

In this study, we propose a virtual element scheme to solve the Darcy problem in three
physical dimensions. The main novelty is that curved elements are naturally handled without …

We present a first-order stabilization-free virtual element method (VEM) for three-
dimensional linear elastic problems in this paper. VEM has been increasingly used in …

We present the design of a mesh quality indicator that can predict the behavior of the Virtual
Element Method (VEM) on a given mesh family or a finite sequence of polyhedral meshes …

In this work, we exploit the capability of virtual element methods in accommodating
approximation spaces featuring high-order continuity to numerically approximate differential …

In this paper we analyze a virtual element method (VEM) for a pseudostress formulation of
the Stokes eigenvalue problem. This formulation allows to eliminate the velocity and the …

We design the conforming virtual element method for the numerical approximation of the two‐
dimensional elastodynamics problem. We prove stability and convergence of the …

A NURBS-based serendipity virtual element method for general (arbitrary) element shapes
is outlined in this work. The low-order VEM ansatz function is now extended towards higher …

In this paper, we propose a Virtual Element Method (VEM) for the Laplacian eigenvalue
problem, which is designed to avoid the requirement of the stabilization terms in standard …

In this work, we investigate a divergence-free, nonconforming virtual element method for the
numerical approximation of the Stokes eigenvalue problems using polygonal unstructured …