Overview
- Introduces the concept of topological derivative in a simple and pedagogical manner using a direct approach based on calculus of variations combined with compound asymptotic analysis
- Offers numerical methods in shape optimization, including algorithms and applications in the context of compliance structural topology optimization and topology design of compliant mechanisms
- Explores the mathematical aspects of topological asymptotic analysis as well as on applications of the topological derivative in computational mechanics, including shape and topology optimization
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (5 chapters)
Authors and Affiliations
About the authors
Jan Sokolowski is a Full Professor at the Institute of Mathematics (IECL) at the Université de Lorraine in Nancy, France, and at the Polish Academy of Sciences’ Systems Research Institute. He has published five monographs with Springer and Birkhauser, and over 200 research papers in international journals. His research focuses on shape and topology optimization for the systems described by partial differential equations.
Bibliographic Information
Book Title: An Introduction to the Topological Derivative Method
Authors: Antonio André Novotny, Jan Sokołowski
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-030-36915-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-36914-9Published: 22 January 2020
eBook ISBN: 978-3-030-36915-6Published: 21 January 2020
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: X, 114
Number of Illustrations: 18 b/w illustrations, 6 illustrations in colour
Topics: Calculus of Variations and Optimal Control; Optimization, Partial Differential Equations, Classical Mechanics