2024年06月17日 星期一 登录 EN

学术活动
Numerical homogenization for multiscale elliptic PDEs
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报告人:
张镭 教授 ( 上海交通大学 )
邀请人:
谢和虎 研究员
题目:
Numerical homogenization for multiscale elliptic PDEs
时间地点:
6 月 23 日(周四)下午 16:00-17:00 腾讯会议(ID:530 4940 3354)
摘要:
The field of numerical homogenization concerns the numerical approximation of the solution space of, for example, divergence form elliptic equation with L^{\infty} coefficients by a finite-dimensional space. This problem is motivated by the fact that standard methods such as finite-element method with piecewise polynomial elements can perform arbitrarily badly for PDEs with rough coefficients. Some numerical homogenization methods are developed from classical homogenization concepts such as periodic homogenization and scale separation, however, one of the main objectives of numerical homogenization is to achieve a numerical approximation of the solution space of the equation with arbitrary rough coefficients. In this lecture, I will introduce some basic ideas for the numerical homogenization of elliptic multiscale PDEs, and sketch a review for some recent developments.