2021/11/23 by Tomáš Medřický, Medřický, Tomáš, Martin Doškář +5 · 1 citation
Computer Science · Engineering · #Computational Engineering #FOS: Computer and information sciences #Finance #Metaheuristic Optimization Algorithms Research #Topology Optimization in Engineering #VLSI and FPGA Design Techniques #and Science (cs.CE)
paper · pdf · doi:10.48550/arxiv.2111.11728
openalex publication_date 2021/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We critically assess the performance of several variants of dual and\ndual-primal domain decomposition strategies in problems with fixed subdomain\npartitioning and high heterogeneity in stiffness coefficients typically arising\nin topology optimization of modular structures. Our study considers Total FETI\nand FETI Dual-Primal methods along with three enhancements: k-scaling, full\northogonalization of the search directions, and considering multiple\nsearch-direction at once, which gives us twelve variants in total. We test\nthese variants both on academic examples and snapshots of topology optimization\niterations. Based on the results, we conclude that (i) the original methods\nexhibit very slow convergence in the presence of severe heterogeneity in\nstiffness coefficients, which makes them practically useless, (ii) the full\northogonalization enhancement helps only for mild heterogeneity, and (iii) the\nonly robust method is FETI Dual-Primal with multiple search direction and\nk-scaling.\n