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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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An Introduction to the Topological Derivative Method (Paperback, 1st ed. 2020)
Loot Price: R1,792
Discovery Miles 17 920
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An Introduction to the Topological Derivative Method (Paperback, 1st ed. 2020)
Series: SpringerBriefs in Mathematics
Expected to ship within 10 - 15 working days
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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.
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