Variational Methods in Shape Optimization Problems

The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world.

In this work, these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems.

It presents foundational introduction to shape optimization theory.

It poses several open problems for further research; and substantial bibliography and index.

Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.