A localized boundary element method for the floating body problem
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In: IMA Journal of Numerical Analysis, Vol. 21, No. 4, 01.10.2001, p. 799-816.
Research output: Journal contributions › Journal articles › Research › peer-review
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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 -