Leugering G. New Trends in Shape Optimization 2015 torrent

Textbook in PDF format

This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike presented their latest findings. The format of the meeting allowed fruitful discussions on challenging open problems, and triggered a number of new and spontaneous collaborations. As such, the idea was born to produce this book, each chapter of which was written by a workshop participant, often with a collaborator. The content of the individual chapters ranges from survey papers to original articles; some focus on the topics discussed at the Workshop, while others involve arguments outside its scope but which are no less relevant for the field today. As such, the book offers readers a balanced introduction to the emerging field of shape optimization.
On the Minimization of Area Among Chord-Convex Sets
Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity
On a Classical Spectral Optimization Problem in Linear Elasticity
Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functions
A Phase Field Approach for Shape and Topology Optimization in Stokes Flow
An Overview on the Cheeger Problem
Shape- and Topology Optimization for Passive Control of Crack Propagation
Recent Existence Results for Spectral Problems
Approximate Shape Gradients for Interface Problems
Towards a Lagrange–Newton Approach for PDE Constrained Shape Optimization
Shape Optimization in Electromagnetic Applications
Shape Differentiability Under Non-linear PDE Constraints
Optimal Regularity Results Related to a Partition Problem Involving the Half-Laplacian