In this paper, we develop a virtual element method (VEM) of high order to solve the fourth
order plate buckling eigenvalue problem on polygonal meshes. We write a variational …

In this paper, we analyze a Virtual Element Method (VEM) for solving a non-self-adjoint
fourth-order eigenvalue problem derived from the transmission eigenvalue problem. We …

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

A virtual element discretisation for the numerical approximation of the three-field formulation
of linear poroelasticity introduced in R. Oyarzúa and R. Ruiz-Baier,(SIAM J. Numer. Anal. 54 …

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 paper, we propose a conforming virtual element method for the Helmholtz
transmission eigenvalue problem of anisotropic media. By using 𝕋-coercivity theory, 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 …

In this paper we propose and analyze a mixed virtual element method for the Helmholtz
transmission eigenvalue problem, which is a fourth order, nonlinear and non-self-adjoint …

The aim of this paper is to analyze the influence of small edges in the computation of the
spectrum of the Steklov eigenvalue problem by a lowest order virtual element method …

In this paper, we propose the Stokes-type virtual element method for the Laplacian
eigenvalue problem in mixed form, in which the eigenvalue problem is reformulated in terms …