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A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM
ACM Transactions on Mathematical Software ( IF 2.7 ) Pub Date : 2020-12-09 , DOI: 10.1145/3425193
Thomas C. Clevenger 1 , Timo Heister 1 , Guido Kanschat 2 , Martin Kronbichler 3
Affiliation  

We present the design and implementation details of a geometric multigrid method on adaptively refined meshes for massively parallel computations. The method uses local smoothing on the refined part of the mesh. Partitioning is achieved by using a space filling curve for the leaf mesh and distributing ancestors in the hierarchy based on the leaves. We present a model of the efficiency of mesh hierarchy distribution and compare its predictions to runtime measurements. The algorithm is implemented as part of the deal.II finite-element library and as such available to the public.

中文翻译:

一种灵活、并行、自适应的有限元几何多重网格方法

我们介绍了用于大规模并行计算的自适应细化网格的几何多重网格方法的设计和实现细节。该方法在网格的细化部分使用局部平滑。分区是通过对叶网格使用空间填充曲线并基于叶在层次结构中分布祖先来实现的。我们提出了一个网格层次分布效率的模型,并将其预测与运行时测量进行比较。该算法被实现为交易二有限元库,因此可供公众使用。
更新日期:2020-12-09
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