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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…
DG = FEM + flat elements, Part I: Diffusion
Jiří Szotkowski, Václav Kučera, 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…
A scalable high-order multigrid-FFT Poisson solver for unbounded domains on adaptive multiresolution grids
Gilles Poncelet, Jonathan Lambrechts, Thomas Gillis +1
Multigrid solvers are among the most efficient methods for solving the Poisson equation, which is ubiquitous in computational physics. For example, in the context of incompressible…
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…