Numerical Solution of Time-Dependent ...
Document type :
Article dans une revue scientifique: Article original
Title :
Numerical Solution of Time-Dependent Nonlinear Schrödinger Equations Using Domain Truncation Techniques Coupled With Relaxation Scheme
Author(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]
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]
Journal title :
Laser Physics
Pages :
1-12
Publisher :
MAIK Nauka/Interperiodica
Publication date :
2011
ISSN :
1054-660X
English keyword(s) :
absorbing boundary conditions
complex absorbing potentials
nonlinear schrödinger equation
unbounded domain
perfectly matched layers
relaxation scheme
complex absorbing potentials
nonlinear schrödinger equation
unbounded domain
perfectly matched layers
relaxation scheme
HAL domain(s) :
Mathématiques [math]/Analyse numérique [math.NA]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
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