A new shock-tracking technique that avoids re-meshing the computational grid around the
moving shock-front was recently proposed by the authors (Ciallella et al., 2020). The method …

Recently, triangle configuration based bivariate simplex splines (referred to as TCB-spline)
have been introduced to the geometric computing community. TCB-splines retain many …

Powell–Sabin B-splines, which are based on triangles, are employed in the framework of the
extended finite element method (XFEM) for fracture analysis. This avoids the necessity of …

Abstract Development of a numerical tool based upon the high-order, high-resolution
Galerkin finite element method (FEM) often encounters two challenges: First, the Galerkin …

Powell–Sabin B‐splines are enjoying an increased use in the analysis of solids and fluids,
including fracture propagation. However, the Powell–Sabin B‐spline interpolation does not …

We are concerned with the numerical approximation of an incompressible ionized gas
(plasma) flowing in a toroidal geometry. We also assume that the flow is independent of the …

Cette thèse participe au développement de méthodes numériques avancées pour simuler
les instabilités du plasma pour la fusion par confinement magnétique dans les tokamaks …

The paper is concerned with the space of C 1 continuous polynomial splines of degree 5 on
general triangulations such that the restriction to each triangle corresponds to a Bell …

The tokamak is one of the promising systems developed to harness fusion energy. A
tokamak is a toroidal chamber in which a hot plasma is magnetically confined. For tokamaks …

Résumé Le tokamak est l'un des systèmes prometteurs mis au point pour exploiter l'énergie
de fusion. Un tokamak est une chambre toroïdale dans laquelle un plasma chaud est …