Description: Applications of the Topological Derivative Method Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Antonio Andre Novotny, Jan Sokolowski, Antoni Zochowski Format: Hardback Publisher: Springer Nature Switzerland AG, Switzerland Imprint: Springer Nature Switzerland AG ISBN-13: 9783030054311, 978-3030054311 Synopsis The book presents new results and applications of the topological derivative method in control theory, topology optimization and inverse problems. It also introduces the theory in singularly perturbed geometrical domains using selected examples. Recognized as a robust numerical technique in engineering applications, such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena, the topological derivative method is based on the asymptotic approximations of solutions to elliptic boundary value problems combined with mathematical programming tools. The book presents the first order topology design algorithm and its applications in topology optimization, and introduces the second order Newton-type reconstruction algorithm based on higher order topological derivatives for solving inverse reconstruction problems. It is intended for researchers and students in applied mathematics and computational mechanics interested in the mathematical aspects of the topological derivative method as well as its applications in computational mechanics.
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Book Title: Applications of the Topological Derivative Method
Number of Pages: 212 Pages
Language: English
Publication Name: Applications of the Topological Derivative Method
Publisher: Springer Nature Switzerland A&G
Publication Year: 2019
Subject: Computer Science, Mathematics
Item Height: 235 mm
Item Weight: 512 g
Type: Textbook
Author: Jan Sokolowski, Antoni Zochowski, Antonio Andre Novotny
Subject Area: Mechanical Engineering
Series: Studies in Systems, Decision and Control
Item Width: 155 mm
Format: Hardcover
