Uniform fat segment and cusp properties for compactness in shape optimization

DOI10.1007/s00245-007-0869-6zbMath1119.49034OpenAlexW2091258156MaRDI QIDQ996071

Michel C. Delfour, Jean-Paul Zolésio

Publication date: 11 September 2007

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-007-0869-6

zbMATH Keywords

capacitycompactnessshape optimizationfree boundary problemscrack free setscusp propertyfat segment propertystability of compacts

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Minimal surfaces and optimization (49Q05) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20) Capacity theory and generalizations (32U20)

Related Items (4)

Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functions ⋮ Expectations of Random Sets and Their Boundaries Using Oriented Distance Functions ⋮ Shape and topology optimization in Stokes flow with a phase field approach ⋮ Phase-field methods for spectral shape and topology optimization

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