Parallel Performance Evaluation of MIC(0) Preconditioning Algorithm for Voxel μFE Simulation

Abstract

Abstract. Numerical homogenization is used for up-scaling of a linear elasticity tensor of strongly heterogeneous micro-structures. Utilized approach assumes presence of a periodic micro-structure and thus periodic boundary conditions. Rotated trilinear Rannacher-Turek finite elements are used for the discretization, while a parallel PCG method is used to solve arising large-scale systems with sparse, symmetric, positive semidefinite matrices. Applied preconditioner is based on modified incomplete Cholesky factorization MIC(0). The test problem represents a trabecular bone tissue, and takes into account only the elastic response of the solid phase. The voxel microstructure of the bone is extracted from a high resolution computer tomography image. Numerical tests performed on parallel computers demonstrate the efficiency of the developed algorithm.

Performance Analysis of Parallel Alternating Directions Algorithm for Time Dependent Problems

“…The same effect was observed during our previous work, see [9]. There are some factors which could play role for the slower performance using all processors of one node.…”