Titre :

Towards Accurate Artificial Boundary Conditions for Nonlinear PDEs Through Examples

Auteur(s) :

Antoine, Xavier [Auteur]
Robust control of infinite dimensional systems and applications [CORIDA]
Equations aux dérivées partielles [EDP]
Besse, Christophe [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Szeftel, Jeremie [Auteur]
Département de Mathématiques et Applications - ENS-PSL [DMA]

Titre de la revue :

Cubo, a Mathematical Journal

Pagination :

1008-1033

Éditeur :

Temuco Departamento de Matemática y Estadística, Facultad de Ciencias e Ingeniería, Universidad de La Frontera

Date de publication :

2009

ISSN :

0716-7776

Discipline(s) HAL :

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

Résumé en anglais : [en]

The aim of this paper is to give a comprehensive review of current developments related to the derivation of artificial boundary conditions for nonlinear partial differential equations. The essential tools to build such ...
Lire la suite >The aim of this paper is to give a comprehensive review of current developments related to the derivation of artificial boundary conditions for nonlinear partial differential equations. The essential tools to build such boundary conditions are based on pseudodifferential and paradifferential calculus. We present various derivations and compare them. Some numerical results illustrate their respective accuracy and analyze the potential of each technique.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL