3 papers
math.NA2025
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…
math.NA2025
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…
math.NA2025
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…