Title :

Towards Accurate Artificial Boundary Conditions for Nonlinear PDEs Through Examples

Author(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]

Journal title :

Cubo, a Mathematical Journal

Pages :

1008-1033

Publisher :

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

Publication date :

2009

ISSN :

0716-7776

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL