دانلود کتاب New Trends in Shape Optimization

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Front Matter....Pages i-viii
On the Minimization of Area Among Chord-Convex Sets....Pages 1-17
Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity....Pages 19-41
On a Classical Spectral Optimization Problem in Linear Elasticity....Pages 43-55
Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functions....Pages 57-101
A Phase Field Approach for Shape and Topology Optimization in Stokes Flow....Pages 103-115
An Overview on the Cheeger Problem....Pages 117-139
Shape- and Topology Optimization for Passive Control of Crack Propagation....Pages 141-197
Recent Existence Results for Spectral Problems....Pages 199-215
Approximate Shape Gradients for Interface Problems....Pages 217-227
Towards a Lagrange–Newton Approach for PDE Constrained Shape Optimization....Pages 229-249
Shape Optimization in Electromagnetic Applications....Pages 251-269
Shape Differentiability Under Non-linear PDE Constraints....Pages 271-300
Optimal Regularity Results Related to a Partition Problem Involving the Half-Laplacian....Pages 301-314