Subspace Correction Methods for the Iterative Solution of Hierarchic PlateModels. 1. Heat Transfer Problems

摘要

A class of iterative methods for solving the system of partial differentialequations stemming from hierarchic models of the heat conduction problem in orthotropic laminated plates is analyzed. The analysis leads to sharp explicit expressions for the rate of the convergence depending on the shape or director functions used in the derivations of the hierarchic models.