55 citations · 55 across the 3 of their papers we have counts for
5 papers
A posteriori analysis of a virtual element approach on polytopal meshes for the buckling eigenvalue problem
Franco Dassi, Andres E Rubiano, Iván Velásquez
We introduce a novel residual-based a posteriori error estimator for the conforming Virtual Element Method (VEM) applied to the buckling eigenvalue problem, incorporating non…
A virtual element method for the Steklov eigenvalue problem allowing small edges
Felipe Lepe, David Mora, Gonzalo Rivera +1
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. Unde…
Virtual Element for the Buckling Problem of Kirchhoff-Love plates
David Mora, Iván Velásquez
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 formu…
A Virtual Element Method for the Transmission Eigenvalue Problem
David Mora, Iván Velásquez
In this paper, we analyze a virtual element method (VEM) for solving a non-selfadjoint fourth-order eigenvalue problem derived from the transmission eigenvalue problem. We write a…
A virtual element method for the vibration problem of Kirchhoff plates
David Mora, Gonzalo Rivera, Iván Velásquez
The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only…