✦ LIBER ✦

Artificial boundary conditions for Petrovsky systems of second order in exterior domains and in other domains of conical type

✍ Scribed by Sergueı A. Nazarov; Maria Specovius-Neugebauer

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 311 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.513

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✦ Synopsis

Abstract

The approximation of solutions to boundary value problems on unbounded domains by those on bounded domains is one of the main applications for artificial boundary conditions. Based on asymptotic analysis, here a new method is presented to construct local artificial boundary conditions for a very general class of elliptic problems where the main asymptotic term is not known explicitly. Existence and uniqueness of approximating solutions are proved together with asymptotically precise error estimates. One class of important examples includes boundary value problems for anisotropic elasticity and piezoelectricity. Copyright © 2004 John Wiley & Sons, Ltd.

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