activity
20152024
most citedOptimizing the geometrical accuracy of curvilinear meshes

38 citations · 76 across the 8 of their papers we have counts for

collaborators

9 papers

math.NA2024

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…

cs.CE2024★ 13 cited

A Delaunay Refinement Algorithm for the Particle Finite Element Method applied to Free Surface Flows

Thomas Leyssens, Michel Henry, Jonathan Lambrechts +1

This paper proposes two contributions to the calculation of free surface flows using the particle finite element method (PFEM). The PFEM is based on a Lagrangian approach: a set of…

cs.CE2023★ 10 cited

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…

cs.CE2021★ 13 cited

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…

math.AT2019

Quaternionic octahedral fields: SU(2) parameterization of 3D frames

Pierre-Alexandre Beaufort, Jonathan Lambrechts, Christophe Geuzaine +1

3D frame fields are auxiliary for hexahedral mesh generation. There mainly exist three ways to represent 3D frames: combination of rotations, spherical harmonics and fourth order t…

cs.CG2017★ 2 cited

High quality mesh generation using cross and asterisk fields: Application on coastal domains

Christos Georgiadis, Pierre-Alexandre Beaufort, Jonathan Lambrechts +1

This paper presents a method to generate high quality triangular or quadrilateral meshes that uses direction fields and a frontal point insertion strategy. Two types of direction f…