中文摘要：

针对一维椭圆型界面问题,基于浸入界面方法（IIM）得到离散方程组,利用二次插值作为插值延拓算子,建立了新的瀑布型多重网格法。将解的容许误差精度作为迭代终止条件,控制每一层的迭代步数。数值实验说明了该方法的有效性。

英文摘要：

A new cascadic multigrid method is proposed to solve one-dimensional elliptic interface problems discretized by the immersed interface method.A two-order interpolation is used as the prolongation of the new cascadic multigrid method.The tolerance error of solution is chosen as the termination condition to control the iteration steps on each layer.Numerical experiments demonstrate that the new method is more efficient.