Solution of free boundary problems in the presence of geometric uncertainties

Harbrecht, Helmut and Peters, Michael. (2015) Solution of free boundary problems in the presence of geometric uncertainties. Preprints Fachbereich Mathematik, 2015 (02).

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Official URL: https://edoc.unibas.ch/70008/

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The present article is concerned with solving Bernoulli's exterior free boundary problem in case of an interior boundary which is random. We model this random free boundary problem such that the expectation and the variance of the sought domain can be defined. In order to numerically approximate the expectation and the variance, we propose a sampling method like the (quasi-) Monte Carlo quadrature. The free boundary is determined for each sample by the trial method which is a fixed-point like iteration. Extensive numerical results are given in order to illustrate the model.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Harbrecht, Helmut and Peters, Michael
Item Type:Preprint
Publisher:Universität Basel
edoc DOI:
Last Modified:08 May 2019 19:06
Deposited On:28 Mar 2019 09:52

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