3 papers
math.NA2026
Nonparametric face-based finite element methods on complex hybrid three-dimensional meshes
Aubin Brunel, J. -C. Latch{é}
In this work, we propose and analyze low-order nonconforming face-based finite element methods for elliptic problems on complex hybrid three-dimensional meshes, composed of arbitra…
math.NA2023
A MUSCL-like finite volumes approximation of the momentum convection operator for low-order nonconforming face-centred discretizations
Aubin Brunel, Raphaele Herbin, Jean-Claude Latché
We propose in this paper a discretization of the momentum convection operator for fluid flow simulations on quadrangular or hexahedral meshes. The space discretization is performed…
math.NA2022
A staggered scheme for the compressible Euler equations on general 3D meshes
Aubin Brunel, Raphaèle Herbin, Jean-Claude Latché
We address here the discretization of the momentum convection operator for fluid flow simulations on 2D triangular and quadrangular meshes and 3D polyhedral meshes containing hexah…