Balancing domain decomposition applied to structural analysis problems

This paper summarizes the present status of a library of iterative substructuring solvers for the parallel solution of large sparse linear systems of equations that arise from large scale industrial finite-element applications'. The iterative solution schemes have been applied to a series of model problems but also to real-life test cases that include structural analysis problems from the automobile industry (incl. crankshafts) and ship structure analysis (incl. ship sections made of plates, shells and beams). The library provides a single framework that includes Schur complement techniques and Schwarz procedures. The preconditioners include well-known incomplete factorization variants as well as more advanced techniques (such as for example Balancing Domain Decomposition). In this paper, we show some of the performance of the software on a real-life industrial problem.