A-posteriori estimates and adaptive schemes for transmission problems

authored by: Reinhard Hochmuth
Abstract: The results presented here are directed to Galerkin schemes with respect to stable multiscale bases discretizations for boundary integral equations which describe transmission problems. We derive a posteriori estimates which are reliable and efficient with respect to any desirable tolerance. Moreover, the convergence of an adaptive scheme is investigated. The underlying ideas are applicable to a wide class of elliptic problems, cf. [14]. Here further details concerning decay estimates and appropriate index-sets for a system of boundary integral equations are presented.
External Organisation(s): Freie Universität Berlin (FU Berlin)
Type: Article
Journal: Journal of Integral Equations and Applications
Volume: 10
Pages: 1-50
No. of pages: 50
ISSN: 0897-3962
Publication date: 1998
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Numerical Analysis, Applied Mathematics
Electronic version(s): https://doi.org/10.1216/jiea/1181074207 (Access: Open)
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