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

2 citations · 3 across the 10 of their papers we have counts for

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12 papers

math.NA20221 cited

Discontinuous Galerkin methods for the acoustic vibration problem

Felipe Lepe, David Mora, Jesus Vellojin

In two and three dimension we analyze discontinuous Galerkin methods for the acoustic problem. The acoustic fluid that we consider on this paper is inviscid, leading to a linear ei…

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…