Optimal shape design for systems governed by variational inequalities. II: Existence theory for the evolution case

DOI10.1007/BF00940650zbMath0725.49015OpenAlexW4254725043MaRDI QIDQ2276751

J. E. Rubio, Wen-bin Liu

Publication date: 1991

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940650

zbMATH Keywords

optimal shape designmapping methodevolution variational inequalitieselectrochemical machiningparabolic variational inequalitiesvariational convergence theory

Mathematics Subject Classification ID

Variational inequalities (49J40) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (5)

Shape optimization for interface identification with obstacle problems ⋮ Efficient Techniques for Shape Optimization with Variational Inequalities Using Adjoints ⋮ An algorithm based on resolvent operators for solving positively semidefinite variational inequalities ⋮ An algorithm based on resolvent operators for solving variational inequalities in Hilbert spaces ⋮ Optimal shape design for systems governed by variational inequalities. III: Necessary conditions in the elliptic case

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• Sur une famille de variétés à bord lipschitziennes. Application à un problème d'identification de domains
• Optimal shape design for systems governed by variational inequalities. I: Existence theory for the elliptic case
• On a Variational Inequality Formulation of an Electrochemical Machining Moving Boundary Problem and its Approximation by the Finite Element Method
• Free Boundary Convergence in the Homogenization of the One Phase Stefan Problem

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