Solution of free boundary problems in the presence of geometric uncertainties

Harbrecht, Helmut and Peters, Michael. (2017) Solution of free boundary problems in the presence of geometric uncertainties. In: Topological Optimization and Optimal Transport In the Applied Sciences. Berlin-Bosten, pp. 20-39.

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Official URL: http://edoc.unibas.ch/55940/

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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)
UniBasel Contributors:Harbrecht, Helmut and Peters, Michael
Item Type:Book Section, refereed
Book Section Subtype:Further Contribution in a Book
Publisher:De Gruyter
Series Name:Radon Series on Computational and Applied Mathematics
Issue Number:17
Note:Publication type according to Uni Basel Research Database: Book item
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Last Modified:08 Feb 2020 14:42
Deposited On:04 Oct 2017 14:48

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