activity
20152026
most citedGPU-accelerated discontinuous Galerkin methods on hybrid meshes

85 citations · 403 across the 36 of their papers we have counts for

collaborators

39 papers

cs.CE2026

Topology-Preserving Mesh Adaptation for Sharp-Interface Multiphase PFEM

Félix Ruyffelaere, Michel Henry, Jonathan Lambrechts +1

This paper presents a robust, fully Lagrangian framework based on the Particle Finite Element Method (PFEM) capable of simulating multiphase flows with an arbitrary number of immis…

cs.CG2026

Intrinsic Meshing of Closed Surfaces Using Geodesic Distances

Tim Gabriel, Jean-François Remacle, Christophe Geuzaine

We present a method for constructing intrinsic triangulations of closed discrete surfaces, in which edges correspond to shortest geodesic paths and faces decompose into geometric p…

math.NA2026

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…

math.NA2026

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…

physics.flu-dyn2025

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…

cs.CE2025

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…