Towards accurate artificial boundary conditions for nonlinear PDEs through examples
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Xavier Antoine
Xavier.Antoine@iecn.u-nancy.fr
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Christophe Besse
Christophe.Besse@math.univ-lille1.fr
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Jérémie Szeftel
jszeftel@math.princeton.edu
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Abstract
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.
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Published
2009-09-01
How to Cite
[1]
X. Antoine, C. Besse, and J. Szeftel, “Towards accurate artificial boundary conditions for nonlinear PDEs through examples”, CUBO, vol. 11, no. 4, pp. 29–48, Sep. 2009.
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