3 papers
math.NA2026
A Unified Transmissibility-Based Interior Penalty DG Method for Heterogeneous and Anisotropic Diffusion
Gregory Etangsale, Vincent Fontaine, Anis Younes
We derive a primal discontinuous Galerkin (DG) formulation for heterogeneous and anisotropic diffusion, obtained by exact algebraic elimination of the skeletal unknown in a compact…
math.NA2021
Families of hybridizable interior penalty discontinuous Galerkin methods for degenerate advection-diffusion-reaction problems
G. Etangsale, M. Fahs, V. Fontaine +1
We analyze families of primal high-order hybridizable discontinuous Galerkin (HDG) methods for solving degenerate (second-order) elliptic problems. One major trouble regarding this…
math.NA2020
Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems
Gregory Etangsale, Marwan Fahs, Vincent Fontaine +1
In this paper, we derive improved a priori error estimates for families of hybridizable interior penalty discontinuous Galerkin (H-IP) methods using a variable penalty for second-o…