4 papers · 1 filter
A hybridization-derived interior penalty Nitsche method for heterogeneous and anisotropic diffusion
Vincent Fontaine
We develop an interior penalty Nitsche finite element formulation for heterogeneous and anisotropic diffusion problems, which is derived from an interior-penalty stabilized Lagrang…
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…
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…
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…