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20202024
most citedVEM approximation for the Stokes eigenvalue problem: a priori and a posteriori error analysis

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math.NA20222 cited

VEM approximation for the Stokes eigenvalue problem: a priori and a posteriori error analysis

Dibyendu Adak, Felipe Lepe, Gonzalo Rivera

The present paper proposes an inf-sup stable divergence free virtual element method and associated a priori, and a posteriori error analysis to approximate the eigenvalues and eige…

math.NA2022

Finite element analysis for the Navier-Lamé eigenvalue problem

Felipe Lepe, Gonzalo Rivera, Jesus Vellojin

The present paper introduces the analysis of the eigenvalue problem for the elasticity equations when the so called Navier-Lamé system is considered. Such a system introduces the d…

math.NA2022

Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem

Felipe Lepe, Gonzalo Rivera, Jesus Vellojin

The aim of this paper is to analyze a mixed formulation for the two dimensional Stokes eigenvalue problem where the unknowns are the stress and the velocity, whereas the pressure c…

math.NA2022

A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem

Felipe Lepe, Gonzalo Rivera, Jesús Vellojín

In this paper we analyze a posteriori error estimates for a mixed formulation of the linear elasticity eigenvalue problem. A posteriori estimators for the nearly and perfectly comp…

math.NA2021

Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem

Felipe Lepe, Gonzalo Rivera, Jesus Vellojin

In two and three dimensional domains, we analyze mixed finite element methods for a velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem. The methods consist…

math.NA2021

Displacement-pseudostress formulation for the linear elasticity spectral problem

Daniel Inzunza, Felipe Lepe, Gonzalo Rivera

In this paper we analyze a mixed displacement-pseudostress formulation for the elasticity eigenvalue problem. We propose a finite element method to approximate the pseudostress ten…