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English(EN) Acceleration of an algebraic multigrid pressure solver using graph neural networks

图神经网络加速代数多重网格求解器

研究人员开发了一种新颖的、数据驱动的代数多重网格(AMG)压力求解器平滑器,利用了改进的图卷积同构网络(GCIN)。该图神经网络预测最优多项式系数,以构建稀疏伪逆算子,有效捕捉系统的代数结构,并适应非结构网格中的局部各向异性。该方法在各种基准测试中展示了显著的性能提升,减少了V循环次数,并实现了4%至37%的实际运行时间加速。值得注意的是,该模型表现出强大的泛化能力,在远大于训练网格的网格上保持效率,并加速了行业相关问题的收敛。 AI

影响 这项研究通过提高压力求解器的性能,可能带来更快、更高效的计算流体动力学模拟。

排序理由 该集群包含一篇学术论文,详细介绍了使用图神经网络加速计算物理求解器的新方法。

在 arXiv cs.LG 阅读 →

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图神经网络加速代数多重网格求解器

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该集群包含一篇学术论文,详细介绍了使用图神经网络加速计算物理求解器的新方法。
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报道来源 [2]

  1. arXiv cs.LG TIER_1 English(EN) · Eric Chill\'on, Artur K. Lidtke, Nguyen Anh Khoa Doan, Bernat Font ·

    使用图神经网络加速代数多重网格压力求解器

    arXiv:2606.19251v1 Announce Type: cross Abstract: Solving the pressure-Poisson equation remains the primary computational bottleneck in incompressible unstructured flow solvers primarily due to the inherent sensitivity of traditional linear solvers to mesh irregularities. This wo…

  2. arXiv cs.LG TIER_1 English(EN) · Bernat Font ·

    使用图神经网络加速代数多重网格压力求解器

    Solving the pressure-Poisson equation remains the primary computational bottleneck in incompressible unstructured flow solvers primarily due to the inherent sensitivity of traditional linear solvers to mesh irregularities. This work introduces a data-driven algebraic multigrid (A…