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7 papers · 2 filters
Implicit-Explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors
G. Dimarco, L. Pareschi, V. Rispoli
In this paper we develop a class of Implicit-Explicit Runge-Kutta schemes for solving the multi-scale semiconductor Boltzmann equation. The relevant scale which characterizes this…
Adaptive refinement and selection process through defect localization for reconstructing an inhomogeneous refraction index
Yann Grisel, Jean-Pierre Raymond, Pierre-Alain Mazet +1
We consider the iterative reconstruction of both the internal geometry and the values of an inhomogeneous acoustic refraction index through a piecewise constant approximation. In t…
Stability theory for difference approximations of some dispersive shallow water equations and application to thin film flows
Pascal Noble, Jean-Paul Vila
In this paper, we study the stability of various difference approximations of the Euler-Korteweg equations. This system of evolution PDEs is a classical isentropic Euler system per…
A fictitious domain approach for the Stokes problem based on the extended finite element method
Sébastien Court, Michel Fournié, Alexei Lozinski
In the present work, we propose to extend to the Stokes problem a fictitious domain approach inspired by eXtended Finite Element Method and studied for Poisson problem in [Renard].…
Asymptotic Preserving scheme for strongly anisotropic parabolic equations for arbitrary anisotropy direction
Jacek Narski, Maurizio Ottaviani
This paper deals with the numerical study of a strongly anisotropic heat equation. The use of standard schemes in this situation leads to poor results, due to the high anisotropy.…
Study of a fully implicit scheme for the drift-diffusion system. Asymptotic behavior in the quasi-neutral limit
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Marie-Hélène Vignal
In this paper, we are interested in the numerical approximation of the classical time-dependent drift-diffusion system near quasi-neutrality. We consider a fully implicit in time a…