Abstract
The domain decomposition method (DDM) is a well-known effective method for parallel computing of the finite element analysis. Several studies have considered applications of the DDM to various phenomena such as stress and deformation, fracture, temperature, viscos flow, electromagnetic fields, and others. Besides, the DDM needs to solve a Schur complement equation using a preconditioned iterative method. Although a simplified diagonal scaling preconditioning is widely used for the Schur complement equation, its simplicity has never been discussed. Therefore, this study focuses on the diagonal scaling preconditioning for the DDM. We propose a new explanation of the simplified diagonal scaling preconditioning, and some numerical examples are demonstrated.
