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math.NA2025
Finite element analysis for a Herrmann pressure formulation of the elastoacoustic problem with variable coefficients
Arbaz Khan, Felipe Lepe, David Mora +2
In two and three dimensions, this study is focused on the numerical analysis of an eigenproblem associated with a fluid-structure model for sloshing and elasto-acoustic vibration.…
math.NA2025
Discontinuous Galerkin approximation for a Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
We introduce a family of discontinuous Galerkin methods to approximate the eigenvalues and eigenfunctions of a Stokes-Brinkman type of problem based in the interior penalty strateg…
math.NA2025
A Stokes-Brinkman-type formulation for the eigenvalue problem in porous media
Felipe Lepe, Gonzalo Rivera, Jesus Vellojin
In this paper we introduce and analyze, for two and three dimensions, a finite element method to approximate the natural frequencies of a flow system governed by the Stokes-Brinkma…