Overview
- Presents new results and applications of the topological derivative method in control theory, topology optimization, and inverse problems
- Introduces the theory of singularly perturbed geometrical domains using selected examples
- Describes the first order topology design algorithm with its applications in topology optimization
- Shares the second order Newton-type reconstruction algorithm of based on higher order topological derivatives for solving inverse reconstruction problems
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 188)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents(11 chapters)
About this book
Reviews
“The book under review provides an excellent overview of historical and current developments in the field and, at the same time, is a very good introduction to readers familiar with linear elliptic equations and variational inequalities. … In all chapters, a thorough literature discussion is provided along with a detailed discussion of open problems.” (Guenter Leugering, Mathematical Reviews, October, 2019)
Authors and Affiliations
-
Coordenação de Métodos Matemáticos e Computacionais, Laboratório Nacional de Computação Científica LNCC/MCTIC, Petrópolis, Brazil
Antonio André Novotny
-
Institut Élie Cartan de Nancy, UMR 7502, Université de Lorraine, CNRS, Vandœuvre-Lès-Nancy, France
Jan Sokołowski
-
Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland
Antoni Żochowski
Bibliographic Information
Book Title: Applications of the Topological Derivative Method
Authors: Antonio André Novotny, Jan Sokołowski, Antoni Żochowski
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-030-05432-8
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-05431-1Published: 12 January 2019
eBook ISBN: 978-3-030-05432-8Published: 28 December 2018
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XIV, 212
Number of Illustrations: 53 b/w illustrations, 9 illustrations in colour
Topics: Control and Systems Theory, Vibration, Dynamical Systems, Control, Systems Theory, Control