Experiences with FETI-DP in a Production Level Finite Element Application

Abstract

We discuss application of the FETI-DP linear solver within the Salinas finite element application. An overview of Salinas and of the FETI-DP solver is presented. We discuss scalability of the software on ASCI-red, Cplant and ASCI-white. Options for solution of the coarse grid problem that results from the FETI problem are evaluated. The finite element software and solver are seen to be numerically and cpu scalable on each of these platforms. In addition, the software is very robust and can be used on a large variety of finite element models.

Stable boundary element domain decomposition methods for the Helmholtz equation

“…FETI methods are well established as powerful and robust parallel solvers for large-scale finite element equations in different fields of applications, see, e.g., [7,15]. For a rigorous theoretical analysis, see, for example, [2,9,13,20].…”

Parallel implementation of the FETI-DPEM algorithm for general 3D EM simulations

“…The FETI-DPEM method, as the edge-element implementation of the FETI-DP method [1][2][3][4][5], has been developed for electromagnetic analysis in [6], in which its potential capability for parallel computing is theoretically explored. To make the FETI-DPEM method scalable on a massively parallel computing system, a numerically scalable algorithm was developed in [8] by constructing a coarse grid correction at subdomain corner edges and utilizing the Robin-type transmission condition at the subdomain interfaces to replace the original Dirichlet transmission condition used in [6].…”

“…The scalability of the FETI and FETI-DP algorithms for various engineering applications using massively parallel computation has been explored and demonstrated in [1][2][3][4][5]15,16]. In this paper, we focus on the parallel implementation of the FETI-DPEM algorithm on a distributed-memory system using the MPI for 3D electromagnetic analysis.…”

“…Domain decomposition-based methods, which can provide a balanced data distribution across processors, become the best choice for such simulations. Among a variety of domain decomposition methods (DDMs), the dual-primal finite element tearing and interconnecting (FETI-DP) method exhibits an excellent numerical scalability and has become one of the most scalable parallel solvers in computational mechanics and acoustics [1][2][3][4][5].…”

Parallel Iterative Substructuring in Structural Mechanics

“…9.1, has been used very successfully in 3D structural mechanics simulations [25] and for large scale parallel computations [8]. It is routinely in use, e.g., in an implicit structural dynamics code [86], see Pierson et al [84].…”