A localized boundary element method for the floating body problem

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet


The classic floating body problem is considered which is a linear Robin-Neumann boundary value problem in an infinite strip. Existence, uniqueness and regularity of solutions are discussed. Based on the investigation of related exterior problems, coupling operators are introduced to formulate localized boundary integral equations. Then stability and convergence for Galerkin discretizations are shown. Finally, numerical examples illustrate the results.
ZeitschriftIMA Journal of Numerical Analysis
Seiten (von - bis)799-816
Anzahl der Seiten18
PublikationsstatusErschienen - 01.10.2001
Extern publiziertJa

Bibliographische Notiz

Funding Information:
In a preliminary version of these notes I had the pleasure to discuss some related problems with M. Costabel. I feel grateful for his hints. Furthermore, I have to thank K. Doppel for numerous helpful discussion, A. Banthien for accomplishing the numerical experiments and an anonymous referee for valuable comments. Finally, I have to notify that this work has been supported by the Deutsche Forschungsgemeinschaft (DFG) under grants Do 283/2-2 and Ho 1846/1-1.