5 papers · 1 filter
Taming Slivers: A Robust TFEM Framework for Reliable Computations on Degenerate Tetrahedral Meshes
Antoine Quiriny, Jonathan Lambrechts, Nicolas Moës +2
Sliver elements are an intrinsic difficulty of three-dimensional tetrahedral mesh generation and remain costly, and sometimes impractical, to eliminate completely. Although isolate…
The Tempered Finite Element Method
Antoine Quiriny, Václav KuÄera, Jonathan Lambrechts +2
In this paper, we propose a new approach -- the Tempered Finite Element Method (TFEM) -- that extends the Finite Element Method (FEM) to classes of meshes that include zero-measure…
DG = FEM + flat elements, Part I: Diffusion
JiÅà Szotkowski, Václav KuÄera, Chi-Wang Shu +4
We establish a simple, rigorous, and easy to implement connection between the classical continuous finite element method (FEM) and the discontinuous Galerkin (DG) method for Poisso…
Isometric simplices for high-order anisotropic mesh adaptation. Part I: Definition and existence of isometric triangulations
Arthur Bawin, André Garon, Jean-François Remacle
Anisotropic mesh adaptation with Riemannian metrics has proven effective for generating straight-sided meshes with anisotropy induced by the geometry of interest and/or the resolve…
Solving the Porous Medium Equation with the eXtreme Mesh deformation approach (X-Mesh)
Alexandre Chemin, Jonathan Lambrechts, Nicolas Moës +1
We introduce a new scheme for solving the non-regularized Porous Medium Equation. It is mass conserving and uses only positive unknown values. To address these typically conflictin…