A multilevel method with overcorrection by aggregation for solving discrete elliptic problems
Journal of Computational and Applied Mathematics - Special issue on iterative methods for the solution of linear systems
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Introduction to Computational Micromechanics (Lecture Notes in Applied and Computational Mechanics)
Introduction to Computational Micromechanics (Lecture Notes in Applied and Computational Mechanics)
GEM: a platform for advanced mathematical geosimulations
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
Multilevel solvers with aggregations for voxel based analysis of geomaterials
LSSC'11 Proceedings of the 8th international conference on Large-Scale Scientific Computing
Material parameter identification with parallel processing and geo-applications
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
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This contribution deals with numerical upscaling of the elastic material behaviour, namely of geocomposites, from microscale to macroscale through finite element analysis. This computationally demanding task raises many algorithmic and implementation issues related to efficient parallel processing. On the solution of the arising boundary value problem, considered with either Dirichlet or Neumann boundary conditions, we discuss various parallelization strategies, and compare their implementations in the specialized in-house finite element package GEM and through the general numerical solution framework Trilinos.