output
19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

Showing 2010 · math.NAShow all

8 papers · 2 filters

math.NA2010★ 28 cited

Fluid Simulations with Localized Boltzmann Upscaling by Direct Simulation Monte-Carlo

Pierre Degond, Giacomo Dimarco

In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann equation with a finite volum…

math.NA2010★ 9 cited

Degenerate anisotropic elliptic problems and magnetized plasma simulations

Stéphane Brull, Pierre Degond, Fabrice Deluzet

This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic problem. The numerical method is designed for arbitrary space-dependent anisotropy directi…

math.NA2010

A totally Eulerian Finite Volume solver for multi-material fluid flows: Enhanced Natural Interface Positioning (ENIP)

Raphaël Loubère, Jean-Philippe Braeunig, Jean-Michel Ghidaglia

This work concerns the simulation of compressible multi-material fluid flows and follows the method FVCF-NIP described in the former paper Braeunig et al (Eur. J. Mech. B/Fluids, 2…

math.NA2010

Exponential Runge-Kutta methods for stiff kinetic equations

Giacomo Dimarco, Lorenzo Pareschi

We introduce a class of exponential Runge-Kutta integration methods for kinetic equations. The methods are based on a decomposition of the collision operator into an equilibrium an…

math.NA2010★ 52 cited

Numerical simulations of the Euler system with congestion constraint

Pierre Degond, Jiale Hua, Laurent Navoret

In this paper, we study the numerical simulations for Euler system with maximal density constraint. This model is developed in [1, 3] with the constraint introduced into the system…

math.NA2010★ 28 cited

Duality-based Asymptotic-Preserving method for highly anisotropic diffusion equations

Pierre Degond, Fabrice Deluzet, Alexei Lozinski +2

The present paper introduces an efficient and accurate numerical scheme for the solution of a highly anisotropic elliptic equation, the anisotropy direction being given by a variab…

math.NA2010★ 189 cited

A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

Philippe Bonneton, Florent Chazel, David Lannes +2

The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more…

math.NA2010

On discretization in time in simulations of particulate flows

Matthieu Hillairet, Alexei Lozinski, Marcela Szopos

We propose a time discretization scheme for a class of ordinary differential equations arising in simulations of fluid/particle flows. The scheme is intended to work robustly in th…