A penalization approach in shape optimization

Authors

  • Dan Tiba Institute of Mathematics, Romanian Academy, Bucharest, and Academy of Romanian Scientists, Bucharest

DOI:

https://doi.org/10.1478/AAPP.961A8

Keywords:

optimal design, optimal control, implicit parametrization, approximation, existence.

Abstract

We introduce a new approximation technique in general shape optimization problems, involving unknown/variable domains, that penalizes the given boundary condition in the cost functional. The essential technical ingredient is provided by the implicit parametrization theorem, using Hamiltonian systems, recently developed by the author and his collaborators. The method is of fixed domain type and reduces the original problem to a distributed control problem.

Author Biography

  • Dan Tiba, Institute of Mathematics, Romanian Academy, Bucharest, and Academy of Romanian Scientists, Bucharest
    Senior Researcher 1

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Published

2018-06-22

Issue

Vol. 96 No. 1 (2018)

Section

Articles

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