6 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…
Asymptotic meshes from -variational adaptation methods for static problems in one dimension
Darith Hun, Nicolas Moës, Heiner Olbermann
We consider the minimization of integral functionals in one dimension and their approximation by -adaptive finite elements. Including the grid of the FEM approximation as a vari…
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…
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…