A penalization approach in shape optimization

Dan Tiba


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.


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

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

Copyright (c) 2018 Dan TIBA

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