Efficient use of iterative solvers in nested topology optimization
- 410 Downloads
In the nested approach to structural optimization, most of the computational effort is invested in the solution of the analysis equations. In this study, it is suggested to reduce this computational cost by using an approximation to the solution of the analysis problem, generated by a Krylov subspace iterative solver. By choosing convergence criteria for the iterative solver that are strongly related to the optimization objective and to the design sensitivities, it is possible to terminate the iterative solution of the nested equations earlier compared to traditional convergence measures. The approximation is computationally shown to be sufficiently accurate for the purpose of optimization though the nested equation system is not necessarily solved accurately. The approach is tested on several large-scale topology optimization problems, including minimum compliance problems and compliant mechanism design problems. The optimized designs are practically identical while the time spent on the analysis is reduced significantly.
KeywordsTopology optimization Nested approach Iterative equation solvers PCG Approximations
Unable to display preview. Download preview PDF.
- Amir O, Stolpe M, Sigmund O (2009b) Efficient use of iterative solvers in nested topology optimization. In: Proceedings of the 8th world congress on structural and multidisciplinary optimization, Lisbon, PortugalGoogle Scholar
- Bendsøe MP, Sigmund O (2003) Topology optimization—theory, methods and applications. Springer, BerlinGoogle Scholar