中文摘要：

本文针对Darcy-Stokes问题构造一个新的非协调的矩形单元,证明该单元的收敛性,并得到速度能量模的二阶收敛结果,数值算例验证了理论分析结果.

英文摘要：

A new nonconforming rectangle finite element is presented, which is uniformly convergent for the perturbed Darcy-Stokes problem. The element has two order of convergence for the velocity on energy norm. At last, we carry out the numerical example which coincides with our theoretical analysis.