TY - JOUR

T1 - A localized boundary element method for the floating body problem

AU - Hochmuth, Reinhard

N1 - 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.

PY - 2001/10/1

Y1 - 2001/10/1

N2 - 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.

AB - 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.

KW - Mathematics

KW - boundary element method

KW - convergence

KW - existence

KW - hypersingular operator

KW - mixed boundary value problem

KW - oscillating rigid body

UR - http://www.scopus.com/inward/record.url?scp=0035541116&partnerID=8YFLogxK

U2 - 10.1093/imanum/21.4.799

DO - 10.1093/imanum/21.4.799

M3 - Journal articles

VL - 21

SP - 799

EP - 816

JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

SN - 0272-4979

IS - 4

ER -