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Multilevel Solvers with Aggregations for Voxel Based Analysis of Geomaterials

机译:具有基于Voxel基于体素分析的多级溶剂

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Our motivation for voxel based analysis comes from the investigation of geomaterials (geocomposites) arising from rock grouting or sealing. We use finite element analysis based on voxel data from tomography. The arising finite element systems are large scale, which motivates the use of multilevel iterative solvers or preconditioners. Among others we concentrate on multilevel Schwarz preconditioners with aggregations. The aggregations are efficient even in the case of problems with heterogeneity, coefficient oscillations and large coefficient jumps if the aggregations include a proper handling of the strong couplings.
机译:我们对基于体素的分析的动机来自岩石灌浆或密封引起的地岩层(地理复合物)的调查。我们使用基于断层扫描的体素数据使用有限元分析。由此有限元系统是大规模的,这激励了多级迭代溶剂或预处理器的使用。其中,我们专注于具有聚合的多级施瓦茨预处理者。即使在聚集的情况下包括强耦合的正确处理,聚合即使在异质性,系数振荡和大的系数跳跃的情况下,聚合也是有效的。

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