Fixed domain approaches in shape optimization problems

DOI10.1088/0266-5611/28/9/093001zbMath1252.49068OpenAlexW2021348146MaRDI QIDQ3168171

Dan Tiba, Pekka Neittaanmäki

Publication date: 29 October 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/28/9/093001

zbMATH Keywords

finite element discretizationshape optimization problemspenalization-regularizationfixed domain approachcontrollability of elliptic systems

Mathematics Subject Classification ID

Controllability (93B05) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for second-order elliptic equations (35J20) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Numerical solution to inverse problems in abstract spaces (65J22)

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Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions ⋮ Implicit parametrizations and applications in optimization and control ⋮ Topological optimization and minimal compliance in linear elasticity ⋮ Approximation of a simply supported plate with obstacle ⋮ Optimization of a plate with holes ⋮ Topological optimization via cost penalization ⋮ Iterated Hamiltonian type systems and applications ⋮ A direct algorithm in some free boundary problems ⋮ Implicit functions and parametrizations in dimension three: generalized solutions ⋮ Mathematics of nonlinear acoustics

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