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Topological Optimization and Optimal Transport by Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine Bergounioux

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H. Harbrecht and M. D. Peters

2 Solution of free boundary problems in the presence of geometric uncertainties

H. Harbrecht, Helmut Harbrecht, Universität Basel, Departement Mathematik und Informatik, Spiegelgasse 1, 4051 Basel, Schweiz, helmut.harbrecht@unibas.ch

M. D. Peters, Michael D. Peters, Universität Basel, Departement Mathematik und Informatik, Spiegelgasse 1, 4051 Basel, Schweiz, michael.peters@unibas.ch

Abstract: This chapter is concerned with solving Bernoulli’s exterior free boundary problem in the 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, ...

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