PDE-Driven Shape Optimization: Numerical Investigation of Different Descent Directions and Projections Using Penalization and Regularization

DOI10.1007/978-3-662-45504-3_23zbMath1323.49030OpenAlexW252946574MaRDI QIDQ2948571

Publication date: 6 October 2015

Published in: IFIP Advances in Information and Communication Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-45504-3_23

zbMATH Keywords

optimal control finite elements shape optimization numerical algorithm elliptic partial differential equation fixed domain method

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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