非光滑解高次矩形元导数的超收敛性

The Derivative Superconvergence of Higher Degree Rectangular Finite Element with Non-smooth Solution

通过投影型插值展开,在解不光滑时(u∈H1),定义一种新的误差阶,并利用此误差获得非光滑解高次矩形元的一个导数超收敛结果.

For no-smooth solution（u∈H′）,we define a new kind of error order by using projection type interpolation expansion.By which we obtained a derivative superconvergence result for higher-degree rectangular finite element with nonsmooth solution.