Abstract
This paper presents a parallel computing technique for the multi-scale piezoelectric analysis based on the crystallographic homogenization method. In the finite element equation for the conventional piezoelectric analysis, coefficient matrix is not positive definite and ill-condition because of the piezoelectric coupling problem. A parallel computing technique for microscopic analysis is newly developed based on the iterative partitioned coupling method with the parallel conjugate gradient (CG) solver. The parallel iterative method improves the condition number of coefficient matrices without applying precondition technique. In the parallel analysis code, a hierarchical process distribution is introduced to reduce amount of data for communication. Numerical experiments show safe convergence of both the iterative partitioned coupling method and the CG method by using the partitioned solution procedure into structural and electrical fields.
