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Solving a free boundary problem with non-constant coefficients

Brügger, Rahel and Croce, Roberto and Harbrecht, Helmut. (2018) Solving a free boundary problem with non-constant coefficients. Mathematical Methods in the Applied Sciences , 41 (10). pp. 3653-3671.

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Official URL: https://edoc.unibas.ch/64919/

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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 nonconstant 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)
UniBasel Contributors:Harbrecht, Helmut and Croce, Roberto and Brügger, Rahel
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Wiley
ISSN:0170-4214
e-ISSN:1099-1476
Note:Publication type according to Uni Basel Research Database: Journal article -- The final publication is available at Wiley, see DOI link
Language:English
Identification Number:
Last Modified:29 Aug 2018 07:42
Deposited On:29 Aug 2018 07:42

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