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math.OC2020★ 12 cited
Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions
Cornel Marius Murea, Dan Tiba
The recent approach based on Hamiltonian systems and the implicit parametri\-za\-tion theorem, provides a general fixed domain approximation method in shape optimization problems,…
math.OC2020
Implicit parametrizations in shape optimization: boundary observation
Cornel Marius Murea, Dan Tiba
We present first a brief review of the existing literature on shape optimization, stressing the recent use of Hamiltonian systems in topology optimization. In the second section, w…