A-posteriori estimates and adaptive schemes for transmission problems

verfasst von
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.

Externe Organisation(en)
Freie Universität Berlin (FU Berlin)
Typ
Artikel
Journal
Journal of Integral Equations and Applications
Band
10
Seiten
1-50
Anzahl der Seiten
50
ISSN
0897-3962
Publikationsdatum
1998
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mathematik, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1216/jiea/1181074207 (Zugang: Offen)
 

Details im Forschungsportal „Research@Leibniz University“