61 citations · 178 across the 11 of their papers we have counts for
12 papers
Parallel approximation of the exponential of Hermitian matrices
Frédéric Hecht, Sidi-Mahmoud Kaber, Lucas Perrin +2
In this work, we consider a rational approximation of the exponential function to design an algorithm for computing matrix exponential in the Hermitian case. Using partial fraction…
A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates
Georges Sadaka, Victor Kalt, Ionut Danaila +1
We present a finite element toolbox for the computation of Bogoliubov-de Gennes modes used to assess the linear stability of stationary solutions of the Gross-Pitaevskii (GP) equat…
Identification of vortices in quantum fluids: finite element algorithms and programs
Victor Kalt, Georges Sadaka, Ionut Danaila +1
We present finite-element numerical algorithms for the identification of vortices in quantum fluids described by a macroscopic complex wave function. Their implementation using the…
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…
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…
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…
Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing
P. -H. Tournier, I. Aliferis, M. Bonazzoli +10
The motivation of this work is the detection of cerebrovascular accidents by microwave tomographic imaging. This requires the solution of an inverse problem relying on a minimizati…
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…
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…
A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency
Iztok Bajc, Frédéric Hecht, Slobodan Žumer
This paper presents a 3D mesh adaptivity strategy on unstructured tetrahedral meshes by a posteriori error estimates based on metrics, studied on the case of a nonlinear finite ele…
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…
A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates
Ionut Danaila, Frederic Hecht
Numerical computations of stationary states of fast-rotating Bose-Einstein condensates require high spatial resolution due to the presence of a large number of quantized vortices.…