Application of first-and second-order sensitivities in domain optimization for steady conduction problem

摘要

A steady heat conduction problem within an anisotropic domain is formulated. Considering and arbitrary behavioral functional, its first and second sensitivities with Respect to variation of domain shape are derived using the material derivative concept And direct as well as adjoint approaches. Then the shape optimal design problem is Formulated and the optimization algorithms of the first and second order are discussed.