On the equivalence of transmission problems in nonoverlapping domain decomposition methods for quasilinear PDEs
- authored by
- 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.
- External Organisation(s)
-
University of Kassel
- Type
- Article
- Journal
- Numerical Functional Analysis and Optimization
- Volume
- 31
- Pages
- 596-615
- No. of pages
- 20
- ISSN
- 0163-0563
- Publication date
- 05.2010
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Analysis, Signal Processing, Computer Science Applications, Control and Optimization
- Electronic version(s)
-
https://doi.org/10.1080/01630563.2010.490625 (Access:
Unknown)
-
Details in the research portal "Research@Leibniz University"
