Topology optimization methods with gradient-free perimeter approximation | Zendy

Samuel Amstutz | Zendy; Nicolas Van Goethem | Zendy

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Topology optimization methods with gradient-free perimeter approximation

Author(s) -

Samuel Amstutz,

Nicolas Van Goethem

Publication year - 2012

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/286

Subject(s) - perimeter , topology (electrical circuits) , topology optimization , shape optimization , mathematics , mathematical optimization , computer science , algorithm , geometry , combinatorics , physics , finite element method , thermodynamics

1be incorporated within topology optimization algorithms. The required mathematical properties, 2 namely the -convergence and the compactness of sequences of minimizers, are first established. 3 Then we propose several methods for the solution of topology optimization problems with perimeter 4 penalization showing different features. We conclude by some numerical illustrations in the contexts 5 of least square problems and compliance minimization. 6

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