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A localized boundary element method for the floating body problem

Research output: Journal contributions › Journal articles › Research › peer-review

Standard

A localized boundary element method for the floating body problem. / Hochmuth, Reinhard.
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

Harvard

Hochmuth, R 2001, 'A localized boundary element method for the floating body problem', IMA Journal of Numerical Analysis, vol. 21, no. 4, pp. 799-816. https://doi.org/10.1093/imanum/21.4.799

APA

Hochmuth, R. (2001). A localized boundary element method for the floating body problem. IMA Journal of Numerical Analysis, 21(4), 799-816. https://doi.org/10.1093/imanum/21.4.799

Vancouver

Hochmuth R. A localized boundary element method for the floating body problem. IMA Journal of Numerical Analysis. 2001 Oct 1;21(4):799-816. doi: 10.1093/imanum/21.4.799

Bibtex

@article{62e0aef8571c4c59af0b1bc6e6bd256c,
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 = "Mathematics, 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,
day = "1",
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",

}

RIS

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 -

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Didactics of Mathematics in Higher Education as a Scientific Discipline - Conference Proceedings

Göller, R. (Editor), Biehler, R., Hochmuth, R. K. & Rück, H.-G., 2017, Kassel: Kompetenzentrum Hochschuldidaktik Mathematik - Universität Kassel. 509 p. (khdm-Report; vol. 2017, no. 05)

Research output: Books and anthologies › Conference proceedings › Research

Mathematik im Ingenieurwissenschaftsstudium – Ansätze zu einer fachbezogenen Kompetenzmodellierung

Hochmuth, R. K. & Schreiber, S., 2014, TeachING-LearnING.EU Tagungsband: movING Forward; Engineering Education from vision to mission. Tekkaya, A. E., Jeschke, S. & Petermann, M. (eds.). Technische Universität Dortmund, p. 68-76 9 p.

Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

Mit Werkzeugen Mathematik und Stochastik lernen

Wassong, T., Frischemeier, D., Fischer, P. R., Hochmuth, R. & Bender, P., 2014, Wiesbaden: Springer Spektrum. 497 p.

Research output: Books and anthologies › Book

Vorstellung eines Fragebogens zur Erfassung von Lernstrategien in mathematikhaltigen Studiengängen.

Liebendörfer, M., Hochmuth, R. K., Schreiber, S., Göller, R., Kolter, J., Biehler, R., Kortemeyer, J. & Ostsieker, L., 2014, Beiträge zum Mathematikunterricht 2014: Beiträge zur 48. Jahrestagung der Gesellschaft für Didaktik der Mathematik vom 10. bis 14. März 2014 in Koblenz. Roth, J. & Ames, J. (eds.). WTM - Verlag für wissenschaftliche Texte und Medien, Vol. 2. p. 739-742 4 p.

Research output: Contributions to collected editions/works › Article in conference proceedings › Research

Blended-Learning Brückenkurs Mathematik für Wirtschaftswissenschaftler.

Goguadze, G. & Hochmuth, R., 25.11.2013, Mathematik im Übergang Schule / Hochschule und im ersten Studienjahr: Extended Abstracts zur 2. khdm-Arbeitstagung. Hoppenbrock, A., Schreiber, S., Göller, R., Biehler, R., Büchler, B., Hochmuth, R. & Rück, H.-G. (eds.). Universitätsbibliothek Kassel, Vol. khdm-Report 13-01. p. 63-64 2 p. (KHDM-Report; vol. 13, no. 01).

Research output: Contributions to collected editions/works › Other › Research

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