Parallel preconditioner for nonconforming Adini discretization of a plate problem on nonconforming meshes

Abstract

In this paper we present a domain decomposition parallel preconditioner for a discretization of a plate problem on nonconforming meshes in 2D. The local discretizations are Adini nonconforming plate finite elements. On the interfaces between adjacent subdomains two mortar conditions are imposed. The condition number of the preconditioned problem is almost optimal i.e. it is bounded poly-logarithmically with respect to the mesh parameters. © 2012 Springer-Verlag.