SPARSE APPROXIMATE INVERSE PRECONDITIONER FOR CONTACT PROBLEMS ON THE EARTH SIMULATOR USING OPENMP

In this study, the sparse approximate inverse (SAI) preconditioning method is applied to a single SMP node of the Earth Simulator (ES) using OpenMP. The developed method is tested for applications with contact conditions, and demonstrates efficiency and robustness for a wide range of problem sizes. The efficiency and robustness of the SAI preconditioner is competitive with that of the selective blocking method, which is a special preconditioning method for contact problems. The developed method is ported to Hitachi SR8000 and IBM SP-3, and the performance and robustness is evaluated.