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Solving a Bernoulli type free boundary problem with random diffusion

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2020) Solving a Bernoulli type free boundary problem with random diffusion. ESAIM. Control, optimisation and calculus of variations, 26 (56).

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Official URL: https://edoc.unibas.ch/78595/

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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)
UniBasel Contributors:Harbrecht, Helmut and Brügger, Rahel and Croce, Roberto
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:EDP Sciences
ISSN:1292-8119
e-ISSN:1262-3377
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
Identification Number:
Last Modified:23 Sep 2020 15:17
Deposited On:23 Sep 2020 15:17

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