Geometric Analysis of Gradient Flow Problems in Shape Optimization
报告人简介
Jan Sokolowski，波兰科学院和法国洛林大学教授，1975年在波兰科学院获博士学位，形状与拓扑优化的国际知名学者，在形状及拓扑灵敏度分析方面做出了系统的研究工作，发表学术论文200多篇，出版专著多部。
内容简介
The convergence of the gradient method in Shape Optimization is an open problem for a long time. The main difficulty is that in general the associated gradient flow equation has no type. Thus, the Newton method with smoothing is used in order to show the convergence of the gradient method at the continuous level. This Newton type method is a variant of Nash-Moser Implicit Function Theorem. The presented theory is taken from partial results published.
