Dirichlet到Neumann映射在多边形包含运动下的可微性及其在形状optimization中的应用
Differentiability of the Dirichlet to Neumann map under movements of polygonal inclusions with an application to shape optimization
摘要：
本文严格地导出了电导率方程的Dirichlet到Neumann映射和Neumann到Dirichlet映射关于三角形电导率包含的顶点移动的导数。我们应用这一结果制定一个最优化问题的基础上的形状导数的方法。
英文摘要：
In this paper we derive rigorously the derivative of the Dirichlet to Neumann map and of the Neumann to Dirichlet map of the conductivity equation with respect to movements of vertices of triangular conductivity inclusions. We apply this result to formulate an optimization problem based on a shape derivative approach.
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