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Solving a free boundary problem with non-constant coefficients

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2017) Solving a free boundary problem with non-constant coefficients. Preprints Fachbereich Mathematik, 2017 (13).

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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 non-constant coefficients. We maximize the Dirichlet energy functional over all domains of fixed volume. The domain under consideration is represented by a level set function which is driven 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. We show that the combination of these tools lead to an efficient solver for general shape optimization problems.
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 Harbrecht, Helmut and Croce, Roberto
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:17 Apr 2019 20:02
Deposited On:28 Mar 2019 09:51

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