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math.NA2023
Finite element analysis of the nearly incompressible linear elasticity eigenvalue problem with variable coefficients
Arbaz Khan, Felipe Lepe, David Mora +1
In this paper we present a mathematical and numerical analysis of an eigenvalue problem associated to the elasticity-Stokes equations stated in two and three dimensions. Both probl…
math.NA2023
Finite Element Analysis of the Oseen eigenvalue problem
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
We propose and analyze a finite element method for the Oseen eigenvalue problem. This problem is an extension of the Stokes eigenvalue problem, where the presence of the convective…
math.NA2023
A posteriori analysis for a mixed formulation of the Stokes spectral problem
Felipe Lepe, Jesus Vellojin
In two and three dimensions, we design and analyze a posteriori error estimators for the mixed Stokes eigenvalue problem. The unknowns on this mixed formulation are the pseudotress…