Geometric Analysis of Gradient Flow Problems in Shape Optimization
報(bào)告人簡(jiǎn)介
Jan Sokolowski，波蘭科學(xué)院和法國(guó)洛林大學(xué)教授，1975年在波蘭科學(xué)院獲博士學(xué)位，形狀與拓?fù)鋬?yōu)化的國(guó)際知名學(xué)者，在形狀及拓?fù)潇`敏度分析方面做出了系統(tǒng)的研究工作，發(fā)表學(xué)術(shù)論文200多篇，出版專著多部。
內(nèi)容簡(jiǎn)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.
