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Topological Optimization and Optimal Transport by Filippo Santambrogio, Thierry Champion, Guillaume Carlier, Martin Rumpf, Édouard Oudet, Maïtine Bergounioux

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Part I

Shape Optimization and topology optimization is a rapidly evolving field connecting various branches of mathematics ranging from geometric analysis and multiscale methods to numerical analysis and scientific computing.

This book examplarily presents a collection of recent trends.

Harbrecht and Peters study Bernoulli’s exterior free boundary value problem with geometric uncertainties.

The paper by Hintermüller and Wegner studies an optimal control problem in the context of flow with phase separation.

Bretin and Masnou study multiphase systems and interface configuration in these systems. Kovtunenko’s article discusses the problem of identifying shapes from physical data measurements at a distance boundary.

The article by Crasta and Fragalà ...

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