8 papers
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…
Three-dimensional mesh adaptation in PFEM
Thomas Leyssens, Jonathan Lambrechts, Jean-François Remacle
Chaotic free surface flows are challenging problems to simulate numerically, mainly due to the significant changes in geometry and frequent topological changes. Methods that track…
Phase-field and lip-field approaches for fracture with extreme mesh deformation (X-Mesh): a one-dimensional study
Nicolas Moës, Benoît Lé, Nicolas Chevaugeon +1
We consider a one-dimensional fracture problem modelled using either the phase-field or lip-field approach. In both cases, we optimise the incremental potential with respect to the…
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…