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A second order convergent trial method for a free boundary problem in three dimensions
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 3283881
Author(s) Bugeanu, Monica; Harbrecht, Helmut
Author(s) at UniBasel Harbrecht, Helmut
Bugeanu, Monica
Year 2015
Title A second order convergent trial method for a free boundary problem in three dimensions
Journal Interfaces and free boundaries
Volume 17
Number 4
Pages / Article-Number 517-537
Keywords free boundary problem, trial method, second order convergence.
Abstract The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary into the normal direction. At the free boundary, we prescribe the Neumann boundary condition and update the free boundary with the help of the remaining Dirichlet boundary condition. An inexact Newton update is employed which leads to a novel second order convergent trial method. Numerical examples show the feasibility of the present approach. In particular, a parametric representation is utilized which imposes no restriction to the free boundary under consideration except for its genus.
Publisher European Mathematical Society
ISSN/ISBN 1463-9971
edoc-URL http://edoc.unibas.ch/39553/
Full Text on edoc Available
Digital Object Identifier DOI 10.4171/IFB/352
ISI-Number WOS:000374915200004
Document type (ISI) Article
 
   

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29/03/2024