本文讨论了mortar型旋转Q1元的多重网格方法.证明了W循环的多重网格法是最优的,即收敛率与网格尺寸及层数无关.同时给出了一种可变的V循环多重网格算法,得到了一个条件数一致有界的预条件子.最后,数值试验验证了我们的理论结果.
In this paper, multigrid algorithms for mortar-type rotated Q1 element are proposed. It is proven that the 14Lcycle multigrid method is optimal, i.e., the convergence rate is inde pendent of the mesh size and mesh level. Meanwhile a variable V-cycle multigrid algorithm is presented, which provides a preconditioner with a uniformly bounded condition number. Finally, numerical experiments are given to confirm our theoretical results.