Multilevel solvers with aggregations for voxel based analysis of geomaterials

Authors:
Radim Blaheta;Vojtěch Sokol
Affiliations:
Institute of Geonics of the Academy of Sciences of the Czech Republic, Ostrava, Czech Republic;Department of Applied Mathematics, FEECS, VŠB - Technical University of Ostrava, Czech Republic
Venue:
LSSC'11 Proceedings of the 8th international conference on Large-Scale Scientific Computing
Year:
2011

Citing 4
Cited 1

Introduction to Computational Micromechanics (Lecture Notes in Applied and Computational Mechanics)

Introduction to Computational Micromechanics (Lecture Notes in Applied and Computational Mechanics)
Aggregation-Based Algebraic Multilevel Preconditioning

SIAM Journal on Matrix Analysis and Applications
Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients

Computing
Algebraic multilevel methods with aggregations: an overview

LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing

Parallel solvers for numerical upscaling

PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing

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Abstract

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.