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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…
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…
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…
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…
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…
Analysis of an abstract mixed formulation for viscoelastic problems
Erwin Hernández, Felipe Lepe, Jesus Vellojin
This study provides an abstract framework to analyze mixed formulations in viscoelasticity, in the classic saddle point form. Standard hypothesis for mixed methods are adapted to t…