On the equivalence of transmission problems in nonoverlapping domain decomposition methods for quasilinear PDEs
- verfasst von
- Stephan Schreiber, Reinhard Hochmuth
- Abstract
We consider a general quasilinear model problem of second order in divergence form on a Lipschitz domain, where the latter is divided arbitrarily in finitely many Lipschitz subdomains. Regarding this decomposition, several transmission problems, being equivalent to the model problem in a weak sense, are constructed. Thereby, no regularity assumption on the solution beyond H 1 is necessary. Furthermore, we do not need additional smoothness conditions on the boundaries of the subdomains and decompositions with crosspoints are admissible.
- Externe Organisation(en)
-
Universität Kassel
- Typ
- Artikel
- Journal
- Numerical Functional Analysis and Optimization
- Band
- 31
- Seiten
- 596-615
- Anzahl der Seiten
- 20
- ISSN
- 0163-0563
- Publikationsdatum
- 05.2010
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Analysis, Signalverarbeitung, Angewandte Informatik, Steuerung und Optimierung
- Elektronische Version(en)
-
https://doi.org/10.1080/01630563.2010.490625 (Zugang:
Unbekannt)
