This book presents the Topological Derivative Method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis.
In particular, the Topological Derivative is used here in numerical.
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.
This book presents the Topological Derivative Method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis