8 citations · 13 across the 17 of their papers we have counts for
19 papers
Hybridizable Discontinuous Galerkin Methods for Thermo-Poroelastic Systems
Salim Meddahi
We propose a high-order hybridizable discontinuous Galerkin (HDG) formulation for the fully dynamic, linear thermo-poroelasticity problem. The governing equations are formulated as…
Hybridizable Discontinuous Galerkin Methods for Coupled Poro-Viscoelastic and Thermo-Viscoelastic Systems
Salim Meddahi
This article presents a unified mathematical framework for modeling coupled poro-viscoelastic and thermo-viscoelastic phenomena, formulated as a system of first-order in time parti…
An Error Analysis of HDG for Dynamic Poroelasticity
Salim Meddahi
This study introduces a hybridizable discontinuous Galerkin (HDG) method for simulating low-frequency wave propagation in poroelastic media. We present a novel four-field variation…
An Error Analysis of HDG for Linear Fluid-Structure Interaction
Salim Meddahi
A variational formulation based on velocity and stress is developed for linear fluid-structure interaction (FSI) problems. The well-posedness and energy stability of this formulati…
A DG method for a stress formulation of the elasticity eigenproblem with strongly imposed symmetry
Salim Meddahi
We introduce a pure--stress formulation of the elasticity eigenvalue problem with mixed boundary conditions. We propose an H(div)-based discontinuous Galerkin method that imposes s…
A new DG method for a pure--stress formulation of the Brinkman problem with strong symmetry
Salim Meddahi, Ricardo Ruiz-Baier
A strongly symmetric stress approximation is proposed for the Brinkman equations with mixed boundary conditions. The resulting formulation solves for the Cauchy stress using a symm…
Symmetric mixed discontinuous Galerkin methods for linear viscoelasticity
Salim Meddahi, Ricardo Ruiz-Baier
We propose and rigorously analyse semi- and fully discrete discontinuous Galerkin methods for an initial and boundary value problem describing inertial viscoelasticity in terms of…
Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures
Antonio Márquez, Salim Meddahi
We introduce and analyze a stress-based formulation for Zener's model in linear viscoelasticity. The method is aimed to tackle efficiently heterogeneous materials that admit purely…
A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity
Gabriel N. Gatica, Antonio Márquez, Salim Meddahi
We introduce and analyze a new mixed finite element method with reduced symmetry for the standard linear model in viscoelasticity. Following a previous approach employed for linear…
Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
Felipe Lepe, Salim Meddahi, David Mora +1
We introduce a discontinuous Galerkin method for the mixed formulation of the elasticity eigenproblem with reduced symmetry. The analysis of the resulting discrete eigenproblem doe…
A discontinuous Galerkin method for the time harmonic eddy current problem
Ana Alonso Rodríguez, Salim Meddahi, Alberto Valli
We introduce and analyze a discontinuous Galerkin method for a time-harmonic eddy current problem formulated in terms of the magnetic field. The scheme is obtained by putting toget…
Coupling DG-FEM and BEM for time harmonic eddy current problem
Ana Alonso Rodríguez, Salim Meddahi, Alberto Valli
We introduce and analyze a discontinuous Galerkin FEM/BEM method for a time-harmonic eddy current problem written in terms of the magnetic field. We use nonconforming Nédélec finit…
Acoustic vibration problem for dissipative fluids
Felipe Lepe, Salim Meddahi, David Mora +1
In this paper we analyze a finite element method for solving a quadratic eigenvalue problem derived from the acoustic vibration problem for a heterogeneous dissipative fluid. The p…
A mixed discontinuous Galerkin method for the time harmonic elasticity problem with reduced symmetry
Antonio Márquez, Salim Meddahi, Thanh Tran
The aim of this paper is to analyze a mixed discontinuous Galerkin discretization of the time-harmonic elasticity problem. The symmetry of the Cauchy stress tensor is imposed weakl…
New developments on the coupling of mixed-FEM and BEM for the three-dimensional Stokes problem
Gabriel N Gatica, George C. Hsiao, Salim Meddahi +1
In this paper we consider the three dimensional exterior Stokes problem and study the solvability of the corresponding continuous and discrete formulations that arise from the coup…
Symmetric coupling of LDG-FEM and DG-BEM
Norbert Heuer, Salim Meddahi, Francisco-Javier Sayas
We analyze a discontinuous Galerkin FEM-BEM scheme for a second order elliptic transmission problem posed in the three-dimensional space. The symmetric variational formulation is d…
A decoupled preconditioning technique for a mixed Stokes-Darcy model
Antonio Márquez, Salim Meddahi, Francisco-Javier Sayas
We propose an efficient iterative method to solve the mixed Stokes-Dracy model for coupling fluid and porous media flow. The weak formulation of this problem leads to a coupled, in…
Discontinuous Galerkin hp-BEM with quasi-uniform meshes
Norbert Heuer, Salim Meddahi
We present and analyze a discontinuous variant of the hp-version of the boundary element Galerkin method with quasi-uniform meshes. The model problem is that of the hypersingular i…
Strong coupling of finite element methods for the Stokes-Darcy problem
Antonio Márquez, Salim Meddahi, Francisco-Javier Sayas
The aim of this paper is to propose a systematic way to obtain convergent finite element schemes for the Darcy-Stokes flow problem by combining well-known mixed finite elements tha…