17 citations · 51 across the 9 of their papers we have counts for
9 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…
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…
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…
The Tempered Finite Element Method
Antoine Quiriny, Václav Kučera, 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…
Open Problems in Technical AI Governance
Anka Reuel, Ben Bucknall, Stephen Casper +30
AI progress is creating a growing range of risks and opportunities, but it is often unclear how they should be navigated. In many cases, the barriers and uncertainties faced are at…
X-Mesh: A new approach for the simulation of two-phase flow with sharp interface
Antoine Quiriny, Jonathan Lambrechts, Nicolas Moës +1
Accurate modeling of moving boundaries and interfaces is a difficulty present in many situations of computational mechanics. We use the eXtreme Mesh deformation approach (X-Mesh) t…
A two-scale solver for linear elasticity problems in the context of parallel message passing
Alexis Salzman, Nicolas Moës
This paper pushes further the intrinsic capabilities of the GFEM global-local approach introduced initially in [1]. We develop a distributed computing approach using MPI (Me…
Lipschitz regularization for fracture: the Lip-field approach
N. Chevaugeon, N. Moes
The Lip-field approach is a new regularization method for softening material material models. It was presented first in a previous paper providing one-dimensional simulations for d…
The eXtreme Mesh deformation approach (X-MESH) for the Stefan phase-change model
Nicolas Moes, Jean-Francois Remacle, Jonathan Lambrechts +2
The eXtreme Mesh deformation approach (X-MESH) is a new paradigm to follow sharp interfaces without remeshing and without changing the mesh topology. Even though the mesh does not…