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Solving a Bernoulli type free boundary problem with random diffusion

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2018) Solving a Bernoulli type free boundary problem with random diffusion. Preprints Fachbereich Mathematik, 2018 (09).

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Official URL: https://edoc.unibas.ch/70169/

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Abstract

The present article is concerned with the numerical solution of a free boundary problem for an elliptic state equation with random diffusion. The domain under consideration is represented by a level set function which is evolved by the objective's shape gradient. The state is computed by the finite element method, where the underlying triangulation is constructed by means of a marching cubes algorithm. The high-dimensional integral, which is induced by the random diffusion, is approximated by the quasi-Monte Carlo method. By numerical experiments, we validate the feasibility of the approach.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Computational Mathematics (Harbrecht)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:11 Apr 2019 20:40
Deposited On:11 Apr 2019 20:40

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