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	Large Scale modelling in geomechanics: elasticity, thermo-elasticity and iterative solvers Blaheta, Radim ; Byczanski, Petr ; Starý, Jiří Mathematical modelling of many geomechanical problems with the aid of the finite element method leads to high computational demands, which are concentrated in the solution of large-scale linear systems. This contribution adresses the solution of these systems by iterative methods based on CG and its generalizations, the use of space decomposition preconditioners and good initial guesses in a time stepping procedure. Detailed record
	An application of large scale mathematical modelling in geomechanics Blaheta, Radim ; Jakl, Ondřej ; Kohut, Roman ; Kolcun, Alexej Detailed record
	Zkušenosti s paralelními výpočty na IBM SP Blaheta, Radim ; Starý, Jiří Detailed record
	An application of parallel high performance computing in geomechanics Blaheta, Radim ; Starý, Jiří Detailed record
	Large scale FE analysis of stresses due to excavation and heating Blaheta, Radim ; Jakl, Ondřej ; Kohut, Roman ; Starý, Jiří Paper shows the requirements for the use of efficient iterative solvers and parallel high performance computing for solving linear systems, which arise from large scale 3-D finite element (FE) analysis of problems of elasticity and thermo-elasticity in geomechanics. We also summarize our experience and results relating to the use of problem decomposition iterative methods. Detailed record
	Space decomposition Methods: Displacement decomposition, composite Grid Finite elements and overlapping domain decomposition Blaheta, Radim Detailed record
	Large scale mathematical modelling of the effects of mining with GEM3/HPC software Blaheta, Radim ; Byczanski, Petr ; Kohut, Roman ; Rakowski, Z. ; Hájek, A. Detailed record
	Paralelizace metody sdružených gradientů Blaheta, Radim ; Jakl, Ondřej ; Starý, J. Detailed record
	Robustní optimální víceúrovňové předpodmiňovače pro nekonformní konečněprvkové systémy Blaheta, Radim ; Margenov, S. ; Neytcheva, M. We study strategies to construct hierarchical basis function (HB) multilevel preconditioners for the algebraic systems arising from second order elliptic problems, discretized by the nonconforming Crouzeix-Raviart linear finite elements. To this end we follow the know framework for constructing HB preconditioners for conforming finite element methods (FEM). Detailed record
	Náročné uplatnění iteračních řešičů v geotechnice Blaheta, Radim ; Byczanski, Petr ; Jakl, Ondřej ; Kohut, Roman ; Kolcun, Alexej ; Krečmer, Karel ; Starý, Jiří In many fields of science and engineering, we can see challenging tasks, which require application of mathematical modelling. The physical phenomena are simulated with the aid of the finite element method and this simulation leads to huge computational demands, which are concentrated mainly to the solution of large-scale systems of equations. For such systems, we need high performance iterative solvers. Detailed record

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