Journal article
Artificial boundary conditions for Petrovsky systems of second order in exterior domains and in other domains of conical type
Publication Details
Authors: | Specovius-Neugebauer, M.; Nazarov, S. |
Publication year: | 2004 |
Journal: | Mathematical Methods in the Applied Sciences |
Pages range : | 1507-1544 |
Volume number: | 27 |
Issue number: | 13 |
Start page: | 1507 |
End page: | 1544 |
ISSN: | 0170-4214 |
eISSN: | 1099-1476 |
DOI-Link der Erstveröffentlichung: |
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 (C) 2004 John Wiley Sons, Ltd.
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 (C) 2004 John Wiley Sons, Ltd.
