A localized boundary element method for the floating body problem

verfasst von: Reinhard Hochmuth
Abstract: 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.
Organisationseinheit(en): Institut für Didaktik der Mathematik und Physik
Externe Organisation(en): Freie Universität Berlin (FU Berlin)
Typ: Artikel
Journal: IMA journal of numerical analysis
Band: 21
Seiten: 799-816
Anzahl der Seiten: 18
ISSN: 0272-4979
Publikationsdatum: 10.2001
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Allgemeine Mathematik, Computational Mathematics, Angewandte Mathematik
Elektronische Version(en): https://doi.org/10.1093/imanum/21.4.799 (Zugang: Unbekannt)
: Details im Forschungsportal „Research@Leibniz University“

BibTeX

@article{21011881788344f88e5a2050068deb2e,
title = "A localized boundary element method for the floating body problem",
abstract = "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.",
keywords = "Boundary element method, Convergence, Existence, Hypersingular operator, Mixed boundary value problem, Oscillating rigid body",
author = "Reinhard Hochmuth",
note = "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.",
year = "2001",
month = oct,
doi = "10.1093/imanum/21.4.799",
language = "English",
volume = "21",
pages = "799--816",
journal = "IMA journal of numerical analysis",
issn = "0272-4979",
publisher = "Oxford University Press",
number = "4",
}