An introduction to the topological derivative method / Antonio André Novotny, Jan Sokołowski.
Novotny, Antonio André.; Sokołowski, Jan, 1949-
2020
QA402.5
Available Online

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Title An introduction to the topological derivative method / Antonio André Novotny, Jan Sokołowski.
Author Novotny, Antonio André.
ISBN 9783030369156 (electronic book)
3030369153 (electronic book)
9783030369149
3030369145
DOI https://doi.org/10.1007/978-3-030-36915-6
Published Cham : Springer, 2020.
Language English
Description 1 online resource (x, 114 pages) : illustrations.
Item Number 10.1007/978-3-030-36
10.1007/978-3-030-36915-6
Call Number QA402.5
Dewey Decimal Classification 515.64
Summary This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms. Some exercises are offered at the end of each chapter, helping the reader to better understand the involved concepts.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Added Author Sokołowski, Jan, 1949-
Series SpringerBriefs in mathematics.
Available in Other Form Print version: 9783030369149
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Introduction
Singular Domain Perturbation
Regular Domain Perturbation
Domain Truncation Method
Topology Design Optimization
Appendix: Tensor Calculus
References
Index.

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