A robust solver for large-scale heat transfer topology optimization
<|reference_start|>A robust solver for large-scale heat transfer topology optimization: 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 $1024^3$. Our performance results indicate that the proposed preconditioner achieves over $2\times$ speedup against the default algebraic multigrid in PETSc for high-contrast cases.<|reference_end|>
@article{zhou2024a,
    title={A robust solver for large-scale heat transfer topology optimization},
    author={Yingjie Zhou, Changqing Ye, Yucheng Liu, Shubin Fu, Eric T. Chung},
    journal={arXiv preprint arXiv:2410.06850},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.06850},
    primaryClass={math.NA cs.NA}
}