Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Hecht, Frederic"'
Autor:
Hecht, Frederic, Pironneau, Olivier
The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting
Externí odkaz:
http://arxiv.org/abs/2312.09751
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 decomposition, we obtain a parallelizable method, where the computati
Externí odkaz:
http://arxiv.org/abs/2306.16778
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) equation. Applications concern one (single GP equation) or two-component (a
Externí odkaz:
http://arxiv.org/abs/2303.05350
Publikováno v:
Computer Physics Communications, Elsevier, In press
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 free software FreeFem++ is distributed with this paper as a post-proc
Externí odkaz:
http://arxiv.org/abs/2211.07187
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 dimensions; however with minimal simplifications it is equivalent to a
Externí odkaz:
http://arxiv.org/abs/2208.06410
Publikováno v:
In Computer Physics Communications January 2024 294
Publikováno v:
In Computer Physics Communications March 2023 284
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 diffusive effects. This discretization is based upon the formulation by t
Externí odkaz:
http://arxiv.org/abs/1807.05796
Autor:
Monga, Olivier, Hecht, Frédéric, Serge, Moto, Klai, Mouad, Bruno, Mbe, Dias, Jorge, Garnier, Patricia, Pot, Valérie
Publikováno v:
In Computers and Geosciences December 2022 169
Publikováno v:
Computers and Mathematics with Applications, 75(5):1498-1514, 2018
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 waveguide configurations.The implementation of high order curl-conformi
Externí odkaz:
http://arxiv.org/abs/1711.05629