A Nonoverlapping DDM for General Elastic Body-Plate Problems Discretized by the $P_1$-NZT FEM

Abstract

A nonoverlapping domain decomposition method (DDM) is proposed to solve general elastic body-plate problems, discretized by the $P_1$-NZT finite element method. It is proved in a subtle way that the convergence rate of the method is optimal (independent of the finite element mesh size), even for a regular family of finite element triangulations. This enables us to combine the method with adaptive techniques in practical applications. Some numerical results are included to illustrate the computational performance of the method.