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Large-scale micro-finite element simulation of compressive behavior of trabecular bone microstructure
Jiroušek, Ondřej ; Zlámal, Petr
Microstructural finite element analysis has become a standard technique for evaluation of mechanical properties of trabecular bone. Due to the high complexity of the trabecular bone microstructure, the FE models have a very large number of elements (about 1 million elements per cubic cm in 50 μm3 resolution). To perform FE analysis of the microstructural FE models based on micro-CT scanning of whole bone samples (e.g. vertebral bodies) it is needed to solve 107 -- 108 equations. This article deals with comparison of approaches using voxel-based microstructural FE models to calculate the overall mechanical properties of trabecular bone.
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Approaches to parallel implementation of the BDDC method
Šístek, Jakub ; Burda, P. ; Čertíková, M. ; Novotný, J.
During past several years, we have implemented and tested various approaches to domain decomposition methods, especially the Balancing Domain Decomposition Method by Constraints (BDDC). The goal of this paper is to summarize our experience with parallel implementation of such algorithms and to suggest ways to an implementation of the BDDC method that would be efficient on very large number of cores of computers of near future.
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On selections of constraints for the BDDC method
Čertíková, M. ; Šístek, Jakub ; Novotný, J. ; Burda, P.
The Balancing Domain Decomposition by Constraints (BDDC) method is an iterative substructuring domain decomposition method which uses a coarse space. The choice of coarse constraints on continuity has strong influence on convergence of the method. The goal of this paper is to compare the performance of several algorithms for selection of the coarse constraints applied to both test and industrial 3D linear elasticity problems and confront results obtained for typical test problems with results for industrial problems.
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Modelování a simulace složitých geotechnických problémů
Blaheta, Radim
This paper provides three examples of chalenging geotechnical problems which require application of mathematical modelling and use of efficient numerical methods and powerful parallel computers.These examples give a motivation and exploit methods developed within the project MSTEP:Modelling and Simulation of complex Technical Problems.
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Paralelní počítání termoelastického modelu KBS
Starý, Jiří ; Kohut, Roman
The paper describes numerical experiments with a finite element solution of the thermo-elasticity model KBS. Especially, it is devoted to the parallel computing of nonstacionary heat conduction problem, when the linear systems arising in each time step are solved by the overlapping domain decomposition method.
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Parallel Computing and FEM
Blaheta, Radim
The contribution describes application of parallel computing for numerical solution of boundary value problems like elasticity, heat conduction etc. by the finite element method (FEM). The main application concerns solution of large scale linear algebraic systems by domain decomposition methods.
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Aplikace paralelních výpočtů v geotechnice
Starý, Jiří ; Blaheta, Radim ; Kohut, Roman
The paper concerns the mathematical modelling of elasticity and thermo-elasticity problems arising from two challenging geotechnical tasks. The modelling leads to solving the sequence of large-scale systems of linear equations. For such systems, we use high performance iterative solvers being able to run on parallel computers.
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Design and performance monitoring of a HPC cluster
Jiroušek, Ondřej
For high performance computing (HPC), clusters of workstations are becoming very popular platforms, but performance of these systems is harder to predict than on the traditional massively parallel machines. The process by which a low-cost, high performance Beowulf-style Linux cluster was built is discussed in the paper. The first tests of several parallel tasks and the estimation of the performance of the cluster is shortly described.
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