Multigrid methods for Morley element on nonnested meshes

摘要

In this paper, we consider some multigrid algorithms for the biharmonic prob- lem discretized by Morley element on nonnested meshes. Through taking the aver- ages of the nodal variables we construct and intergrid transfer operator that satisfies a certain stable approximation property. The so-called regularity-approximation assumption is then established. Optimal convergence properties of the W-cycle and a uniform condition number estimate for the variable V-cycle preconditioner are presented. This technique is applicable to other nonconforming plate elements.