AuthorsJ. Haubner
TitleShape Optimization for Fluid-Structure Interaction
AfilliationScientific Computing
Project(s)No Simula project
StatusPublished
Publication TypePhD Thesis
Year of Publication2020
Degree awarding institutionTechnical University of Munich
Abstract

In this thesis, shape optimization for unsteady fluid-structure interaction problems via the method of mappings is investigated theoretically and numerically. New existence and regularity results are proven. A framework for deriving differentiability for the solution of nonlinear, unsteady, parameter-dependent partial differential equations is developed and applied to show differentiability of the states with respect to domain variations.

URLhttps://mediatum.ub.tum.de/doc/1520895/file.pdf