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.
@article{1451,
title = {Towards accurate artificial boundary conditions for nonlinear PDEs through examples},
journal = {CUBO, A Mathematical Journal},
volume = {11},
year = {2009},
language = {en},
url = {http://dml.mathdoc.fr/item/1451}
}
Antoine, Xavier; Besse, Christophe; Szeftel, Jérémie. Towards accurate artificial boundary conditions for nonlinear PDEs through examples. CUBO, A Mathematical Journal, Tome 11 (2009) . http://gdmltest.u-ga.fr/item/1451/