2024/10/09 by Yingjie Zhou, Zhou, Yingjie, Changqing Ye +7 · 1 citation
Engineering · #65F10 #65N55 #65Y05 #80M50 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Manufacturing Process and Optimization #Numerical Analysis (math.NA) #Topology Optimization in Engineering
paper · pdf · doi:10.48550/arxiv.2410.06850
openalex publication_date 2024/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper presents a large-scale parallel solver, specifically designed to tackle the challenges of solving high-dimensional and high-contrast linear systems in heat transfer topology optimization. The solver incorporates an interpolation technique to accelerate convergence in high-resolution domains, along with a multiscale multigrid preconditioner to handle complex coefficient fields with significant contrast. All modules of the optimization solver are implemented on a high performance computing cluster by the PETSc numerical library. Through a series of numerical investigations, we demonstrate the effectiveness of our approach in enhancing convergence and robustness during the optimization process, particularly in high-contrast scenarios with resolutions up to 10243. Our performance results indicate that the proposed preconditioner achieves over 2× speedup against the default algebraic multigrid in PETSc for high-contrast cases.