Second order shape optimization for an interface identification problem constrained by nonlocal models
研究了非局部Dirichlet问题约束下的界面识别问题，推导了简化泛函的二阶形状导数，并探讨了二阶优化算法。
Abstract Since shape optimization methods have been proven useful for identifying interfaces in models governed by partial differential equations, we show how shape optimization techniques can also be applied to an interface identification problem constrained by a nonlocal Dirichlet problem. Here, we focus on deriving the second shape derivative of the corresponding reduced functional and we further investigate a second-order optimization algorithm.