期刊全称 | An Introduction to the Topological Derivative Method | 影响因子2023 | Antonio André Novotny,Jan Sokołowski | 视频video | | 发行地址 | 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 | 学科分类 | SpringerBriefs in Mathematics | 图书封面 |  | 影响因子 | 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.. | Pindex | Book 2020 |
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