中文摘要：

提出一种求解大规模有限元方程组的新外推多网格法,即用前两层网格上有限元的新外推值提供第3层细网格上的好初值,然后用几次CG-迭代能得到较准确的有限元解.数值试验表明此方法有很高的效率.

英文摘要：

A new extrapolation multigrid method in solving large scale finite elemen system of equation is proposed, i.e. new extrapolation values of finite element solutions on the first two level grids are used to provide the good initial values on the third level grids and then an exacter finite element solution can be obtained by several CG-iterations. Numerical experiments show that the method is of higher efficiency.