A localized boundary element method for the floating body problem

authored by

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.

Organisation(s)

Institute of the Teaching of Mathematics and Physics

External Organisation(s)

Freie Universität Berlin (FU Berlin)

Type

Article

Journal

IMA journal of numerical analysis

Volume

21

Pages

799-816

No. of pages

18

ISSN

0272-4979

Publication date

10.2001

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics, Computational Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.1093/imanum/21.4.799 (Access: Unknown)