中文摘要：

针对凹角域上的抛物问题提出了瀑布型多重网格方法，获得了相应的收敛性结果,结果表明，在任一时间步上，瀑布型多重网格法的迭代解与离散解同阶，即为O（hl），同时，它的工作量是O（Nl）．

英文摘要：

This paper proposed a cascadic multigrid （CMG） method for parabolic problems in domains with re-entrant corners, whose corresponding convergent results were obtained. The results show that the iterative solution of the CMG method has the same steps as the discrete solution at any time step, i.e. of O （hl）,and its number of arithmetic operations is of O（hl）.