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An introduction to the topological d...

Novotny, Antonio Andre.

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An introduction to the topological derivative method

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to the topological derivative method/ by Antonio Andre Novotny, Jan Sokolowski.
作者:	Novotny, Antonio Andre.
其他作者:	Sokolowski, Jan.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	x, 114 p. :ill. (some col.), digital ;24 cm.
內容註:	Introduction -- Singular Domain Perturbation -- Regular Domain Perturbation -- Domain Truncation Method -- Topology Design Optimization -- Appendix: Tensor Calculus -- References -- Index.
Contained By:	Springer eBooks
標題:	Mathematical optimization. -
電子資源:	https://doi.org/10.1007/978-3-030-36915-6
ISBN:	9783030369156

An introduction to the topological derivative method
Novotny, Antonio Andre.

An introduction to the topological derivative method[electronic resource] /by Antonio Andre Novotny, Jan Sokolowski. - Cham :Springer International Publishing :2020. - x, 114 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

Introduction -- Singular Domain Perturbation -- Regular Domain Perturbation -- Domain Truncation Method -- Topology Design Optimization -- Appendix: Tensor Calculus -- References -- Index.

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.

ISBN: 9783030369156

Standard No.: 10.1007/978-3-030-36915-6doiSubjects--Topical Terms:

517763
Mathematical optimization.

LC Class. No.: QA402.5 / .N686 2020

Dewey Class. No.: 515.64

An introduction to the topological derivative method
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