报告题目：

Some Divergence-free Finite Elements

报 告 人：

张上游 副教授(University of Delaware, USA)

报告时间：

2018年01月05日 9:00--10:00

报告地点：

理学院东北楼四楼报告厅（404）

报告摘要：

"The divergence-free finite element is a type of mixed finite element for solving computational fluid problems.

A divergence-free element is a combination of continuous piecewise polynomial vectors of degree k, approximating the velocity, and discontinuous piecewise polynomials of degree k minus one for the pressure, where the divergence of the discrete velocity space is exactly the discrete pressure space.

Nevertheless, most such spaces are not well-matched and result in unstable methods.

Scott and Vegelius discovered first such a finite element in 1984 that for all polynomial degree 4 or higher, the element is stable on 2D triangular grids.

They posted explicitly the 3D version of this problem, which still remains open.

In this talk, we present some divergence-free elements on composite grids, rectangular grids, and tetrahedral grids.

"