Analysis of two-phase shape optimization problems by means of shape derivatives

Abstract

This is my Ph.D. Thesis at Tohoku Univeristy (July 2018). It presents the theory on shape derivatives and focuses on its applications to two-phase optimization problems. In particular, we treat the two-phase torsion problem and a two-phase analogous of Serrin's overdetermined problem.

arXiv comment81 pages, 8 figures, Ph.D. Thesis

Cited by in corpus (1)

• On a two-phase Serrin-type problem and its numerical computation