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Multilevel Solvers with Aggregations for Voxel Based Analysis of Geomaterials

机译:基于体素的土工材料分析的带聚合的多级解算器

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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:我们基于体素进行分析的动机来自对岩石注浆或密封产生的土工材料(土工复合材料)的研究。我们使用基于层析成像体素数据的有限元分析。出现的有限元系统规模很大,这促使人们使用多级迭代求解器或预处理器。除其他外,我们专注于带聚合的多层Schwarz预处理器。如果聚合包括对强耦合的正确处理,则即使在异质性,系数振荡和大系数跳跃的问题中,聚合也是有效的。

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