半线性椭圆型问题Mortar有限元逼近的瀑布型多重网格法

Cascadic Multigrid Method for a Mortar Element Approximation of a Semilinear Elliptic Problem

Mortar有限元法作为一个非协调的区域分解技术已得到许多研究者的关注(如文献[2]、[5]等)。本文对半线性椭圆型问题的Mortar有限元逼近提出了瀑布型多重网格法,并给出了此法的误差估计和计算复杂度估计定理。

The mortar finite element method as a special nonconforming domain decomposition technique has attracted many researchers attention(e.g.[2]、[5]etc].In this paper a cascadic multigrid method for a mortar finite element approximation of a semilinear elliptic problem is proposed,and a theorem is given,which displays the error estimate and the computational complexity of the method.