Multilevel Solvers with Aggregations for Voxel Based Analysis of Geomaterials
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.
KeywordsAggregation Technique Multilevel Method Coarse Space Multiscale Basis Function Adaptive Aggregation
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