Titre :

Numerical Solution of Time-Dependent Nonlinear Schrödinger Equations Using Domain Truncation Techniques Coupled With Relaxation Scheme

Auteur(s) :

Antoine, Xavier [Auteur]
Institut Élie Cartan de Nancy [IECN]
Robust control of infinite dimensional systems and applications [CORIDA]
Besse, Christophe [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Klein, Pauline [Auteur]
Laboratoire de Mathématiques de Besançon (UMR 6623) [LMB]

Titre de la revue :

Laser Physics

Pagination :

1-12

Éditeur :

MAIK Nauka/Interperiodica

Date de publication :

2011

ISSN :

1054-660X

Mot(s)-clé(s) en anglais :

absorbing boundary conditions
complex absorbing potentials
nonlinear schrödinger equation
unbounded domain
perfectly matched layers
relaxation scheme

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]

Résumé en anglais : [en]

The aim of this paper is to compare different ways for truncating unbounded domains for solving general nonlinear one- and two-dimensional Schrödinger equations. We propose to analyze Complex Absorbing Potentials, Perfectly ...
Lire la suite >The aim of this paper is to compare different ways for truncating unbounded domains for solving general nonlinear one- and two-dimensional Schrödinger equations. We propose to analyze Complex Absorbing Potentials, Perfectly Matched Layers and Absorbing Boundary Conditions. The time discretization is made by using a semi-implicit relaxation scheme which avoids any fixed point procedure. The spatial discretization involves finite element methods. We propose some numerical experiments to compare the approaches.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL