一类半线性椭圆问题的瀑布型多重网格法

On the Convergence of a Cascadic Multigrid Method for a Kind of Semilinear Elliptic Problems

采用瀑布型多重网格法求解一类半线性椭圆问题.在适当条件下,证明了该算法具有能量范数意义下最优收敛阶和拟最优计算复杂度.

A cascadic multigrid method was applied to solve a kind of semilinear elliptic problems. Under suitable conditions, it has been proved that the algorithm has optimal order of convergence in energy norm and quasioptimal computational complexity.