Number of visits: 5355        Start of counting: 03-11-2006        Last modification: 09-12-2010
© 2000 - 2010   Jiri Stary        Česky  English

Department of applied mathematics and computer science

Selected publications
  • O. Axelsson, R. Blaheta: Two simple derivations of universal bounds for the C.B.S. inequality constant. Applications of Mathematics. Vol. 49, No. 1, 2004, pp. 57-72. ISSN 0862-7940.
  • R. Blaheta: GPCG - generalized preconditioned CG method and its use with non-linear and non-symmetric displacement decomposition preconditioners. Numerical Linear Algebra with Applications. Vol. 9, No. 6/7, 2002, pp. 525-550. ISSN 1070-5325.
  • R. Blaheta: Nested tetrahedral grids and strengthened C.B.S. inequality. Numerical Linear Algebra with Applications. Vol. 10, 2003, pp. 619-637. ISSN 1070-5325.
  • R. Blaheta (ed.): Iterative methods, preconditioning and numerical PDE's, Applications of Mathematics (AS CR and Kluwer), Vol. 50, No. 3, 2005. Preface, pp. 177-178, special issue.
  • R. Blaheta, P. Byczanski, R. Kohut, A. Kolcun, R. Snuparek: Large-Scale Modelling of T-M Phenomena from Underground Reposition of the Spent Nuclear Fuel, EUROCK 2005 Impact of Human Activity on Geological Environment, P. Konecny (ed.), A.A. Balkema, Leiden, 2005, pp. 49-55.
  • R. Blaheta, S. Margenov, M. Neytcheva: Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems. Numerical Linear Algebra with Applications. Vol. 11, No. 4, 2004, pp. 309-326. ISSN 1070-5325.
  • R. Blaheta, S. Margenov, M. Neytcheva: Aggregation-based multilevel preconditioning of non-conforming FEM elasticity problems, Proc. PARA'04, Workshop on state-of –the-art in scientific computing, J. Dongarra, K. Madsen, J. Wasniewski (eds.): PARA 2004, LNCS 3732, Springer-Verlag Berlin Heidelberg, 2005, pp. 847–856.
  • R. Blaheta, M. Neytcheva, S. Margenov: Robust optimal multilevel preconditioners for nonconforming FE systems. Numerical Linear Algebra with Applications, No. 12, 2005, pp. 495-514.
  • R. Blaheta, J. Nedoma (eds.): Numerical Models in Geomechanics and Geodynamice, Future Generation Computer Systems (EIsevier). Vol. 22, No. 4, 2006, special issue.
  • R. Blaheta: Algebraic Multilevel Methods with Aggregations: An Overview, In: I. Lirkov, S. Margenov, and J. Wasniewski (eds.) LSSC 2005, LNCS 3743, Springer, Berlin, Heidelberg, 2006, pp. 3–14.
  • R. Blaheta: Multilevel iterative methods and deflation, ECCOMAS CFD 2006, European conference on Computational Fluid Dynamics, P. Wesseling, E. Onate, J. Periaux (eds.), TU Delft, 2006, 12pp.
  • R. Blaheta, P. Byczanski, O. Jakl, R. Kohut, A. Kolcun, K. Krecmer, J. Stary: Large-scale parallel FEM computations of far/near stress field changes in rocks, Future Generation Computer Systems, special issue Numerical Modelling in Geomechanics and Geodynamics. Vol. 22, No. 4, 2006, pp. 449-459.
  • R. Blaheta, P. Byczanski, R. Kohut: Composite Grid finite element method: implementation and iterative solution with inexact subproblems. Applications of Mathematics. Vol. 47, No. 2, 2002, pp. 83-100. ISSN 0862-7940.
  • R. Blaheta, P. Byczanski, O. Jakl, J. Stary: Space decomposition preconditioners and their application in geomechanics. Mathematics and Computers in Simulation. Vol. 61, 2003, pp. 409-420. ISSN 0378-4754.
  • R. Blaheta, P. Byczanski, O. Jakl, J. Stary: Parallel Schwarz Methods: Algebraic Construction of Coarse Problems, Implementation and Testing, Parallel Processing and Applied Mathematics. 6th International Conference, PPAM 2005, Poznań, Poland, September 11-14, 2005 Revised Selected Papers. Berlin : Springer, 2006 - (R. Wyrzykowski), pp. 505-512.
  • R. Blaheta, O. Jakl, J. Stary: Linear system solvers based on space decompositions and parallel computations. Engineering Mechanics / Inzenyrska mechanika. Vol. 10, No. 6, 2003, pp. 439-454. ISSN 1210-2717.
  • R. Blaheta, O. Jakl, J. Stary: Displacement Decomposition and Parallelization of the PCG Method for Elasticity Problems, International Journal of Computational Science and Engineering, Inderscience Publishers NY, USA. ISSN (Online): 1742–7193.
  • R. Blaheta, R. Kohut, M. Neytcheva, J. Stary: Schwarz Methods for Discrete Elliptic and Parabolic problems with an Application to Nuclear Waste Repository Modelling, Mathematics and Computers in Simulation (IMACS/Elsevier), in print.
  • R. Kohut, J. Stary, R. Blaheta, K. Krecmer: Parallel Computing of Thermoelasticity Problems, Large-Scale Scientific Computing. Berlin : Springer, 2006 - (I. Lirkov), pp. 671-678.
  • J. Malik: Mathematical modelling of rock bolt systems II, Appl. Math., No. 45, 2000, pp. 177-203.
  • J. Malik, P. Martinec: Inverse analysis for estimating some characteristic of stress fields and effective instalation of bolt reinforcement, Roofbolting in Mining, Aachen International Mining Symposia, RWTH Aachen, 2004. (P.N.Martens), pp. 416-423.
  • J. Malik: Generalized G-convergence of Quasilinea elliptic differential operators, Nonlinear Analysis, 2007, in print.
  • J. Malik: Mathematical modeling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems. Appl. Math., No. 49, 2004, pp. 1-38.
  • J. Malik: Oscillations in cable stayed bridges: existence, uniqueness, homogenization of cable systems. J. Math. Anal. Appl., No. 266, 2002, pp. 100-126.
  • J. Malik: Asymptotic behavior of solutions to cable stayed bridge equations. J. Math. Anal. Appl., No. 317, 2006, pp. 146-162.
  • J. Malik: Instability of oscillations in cable stayed bridges. Appl. Math., No. 50, 2005, pp. 503-52.
  • J. Malik: Nonlinear models of suspension bridges. J. Math. Anal. Appl., No. 324, 2006, pp. 1288-1296.
  • J. Malik: Generalized nonlinear models of suspension bridges. J. Math. Anal. Appl., No. 321, 2006, pp. 828-850.
  • J. Stary, R. Blaheta, O. Jakl, R. Kohut: Parallel Simulation of T-M Processes in Underground Repository of Spent Nuclear Fuel. Recent Advances in Parallel Virtual Machine and Message Passing Interface. LNCS 4192, Springer, Berlin, 2006 – (B. Mohr), pp. 391-399.
  • B. Strnadel, P. Byczanski: Micro-structural reliability design of brittle materials. Engineering Fracture Mechanics. Vol. 74, No. 11, 2007, pp. 1825-1836.