The development of a nonlinear structural analysis using CR finite element finite element with a domain decomposition algorithm relying on direct solvers only was described. While the FETI-Local method uses the domain decomposition concept that characterizes classical FETI methods, The continuity of the displacement field within sub-domain interfaces is enforced by using a combination of the localized Lagrange multiplier and of the augmented Lagrangian formulation. Therefore, well-conditioned stiffness matrices is derived. Moreover, direct solvers can be used for both sub-domain and interface problems. The FETI-Local method was further improved by employing the sparse matrix solver to handle the sparsity within the governing equation. The computational cost and scalability of the analysis of the CR finite element with the FETI-Local method was compared to those of the sparse linear equation solver, PARDISO. Good scalability characteristics of the analysis of the CR finite element with the FETI-Local method were demonstrated for a general nonlinear analysis and flexible multi-body dynamic analysis.
展开▼
