Efficient Consideration of Periodic Boundary Condition in Hierarchical Domain Decomposition Method

Abstract

This paper deals with an efficient treatment of a periodic boundary condition in parallel environments for a three-dimensional electromagnetic analysis. To reduce computation time, analysis domain is often reduced using the periodic boundary condition. In general, high efficiency in parallel computing using the hierarchical domain decomposition method (HDDM) with the periodic boundary condition is difficult to achieve. The HDDM is known as an efficient parallel finite element method for an analysis of a rotating machine including moving bodies. In this paper, a new domain decomposition technique for the HDDM that enables us to achieve efficient scalability on massively parallel computers is proposed.