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20102023
most citedA finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates

61 citations · 178 across the 11 of their papers we have counts for

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6 papers · 1 filter

math.NA2022★ 1 cited

Radiative Transfer For Variable 3D Atmospheres

Francois Golse, Frederic Hecht, Olivier Pironneau +2

To study the temperature in a gas subjected to electromagnetic radiations, one may use the Radiative Transfer equations coupled with the Navier-Stokes equations. The problem has 7…

math.NA2018

A Petrov-Galerkin multilayer discretization to second order elliptic boundary value problems

Toms Chacón Rebollo, Daniel Franco Coronil, Frédéric Hecht

We study in this paper a multilayer discretization of second order elliptic problems, aimed at providing reliable multilayer discretizations of shallow fluid flow problems with dif…

math.NA2017★ 8 cited

An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations

Marcella Bonazzoli, Victorita Dolean, Frédéric Hecht +1

In this paper we focus on high order finite element approximations of the electric field combined with suitable preconditioners, to solve the time-harmonic Maxwell's equations in w…

math.NA2016

Explicit implementation strategy of high order edge finite elements and Schwarz preconditioning for the time-harmonic Maxwell's equations

Marcella Bonazzoli, Victorita Dolean, Frédéric Hecht +1

In this paper we focus on high order finite element approximations of the electric field combined with suitable preconditioners, to solve the time-harmonic Maxwell's equations in w…

math.NA2016★ 32 cited

A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation

Guillaume Vergez, Ionut Danaila, Sylvain Auliac +1

We present a new numerical system using classical finite elements with mesh adaptivity for computing stationary solutions of the Gross-Pitaevskii equation. The programs are written…

math.NA2011★ 22 cited

Adaptive multiresolution analysis based on anisotropic triangulations

Albert Cohen, Nira Dyn, Frédéric Hecht +1

A simple greedy refinement procedure for the generation of data-adapted triangulations is proposed and studied. Given a function of two variables, the algorithm produces a hierarch…