Published papers

Major Publications

Institute of Computer Science AS CR

 

I. Pultarova, Necessary and Sufficient Local Convergence Condition of One Class of Iterative Aggregation - Disaggregation Methods, Numerical Linear Algebra with Applications, vol. 15, no. 4, pp. 339-354, 2008.

 

P. Jiranek and M. Rozloznik, Limiting Accuracy of Segregated Solution Methods for Nonsymmetric Saddle Point Problems, Journal of Computational and Applied Mathematics, vol. 215, no. 1, pp. 28-37, 2008.

 

Ph. Birken, J. Duintjer Tebbens, A. Meister and M. Tuma, Preconditioner Updates Applied to CFD Model Problems, Applied Numerical Mathematics, vol. 58, no. 11, pp. 1628-1641, 2008.

 

V. Faber, J. Liesen and P. Tichy, The Faber-Manteuffel Theorem for Linear Operators, SIAM Journal on Numerical Analysis, vol. 46, no. 3, pp. 1323-1337, 2008.

 

J. Liesen and Z. Strakos, On Optimal Short-Term Recurrences for Generating Orthogonal Krylov Subspace Bases, SIAM Review, vol. 50, no. 3, pp. 485-503, 2008.

 

P. Jiranek and M. Rozloznik, Maximum Attainable Accuracy of Inexact Saddle Point Solvers, SIAM Journal on Matrix Analysis and Applications, vol. 29, no. 4, pp. 1297-1321, 2008.

 

P. Tichy, J. Liesen and V. Faber, On worst-case GMRES, ideal GMRES, and the polynomial numerical hull of a Jordan block, Electronic Transactions on Numerical Analysis (ETNA), vol. 26, pp. 453-473, 2007.

 

I. Pultarova, Local Convergence Analysis of IAD Methods with Polynomial Correction, Linear Algebra and its Applications, vol. 421, no. 1, pp. 122-137, 2007.

 

J. Duintjer Tebbens and M. Tuma, Efficient Preconditioning of Sequences of Nonsymmetric Linear Systems, SIAM Journal on Scientific Computing, vol. 29, no. 5, pp. 1918-1941, 2007.

 

D. P. O'Leary, Z. Strakos and P. Tichy, On Sensitivity of Gauss-Christoffel Quadrature, Numerische Mathematik, vol. 107, no. 1, pp. 147-174, 2007.

 

J. Duintjer Tebbens and P. Schlesinger, Improving Implementation of Linear Discriminant Analysis for the High Dimension/Small Sample Size Problem, Computational Statistics and Data Analysis, vol. 52, no. 1, pp. 423-437, 2007.

 

I. Hnetynkova and Z. Strakos, Lanczos Tridiagonalization and Core Problems, Linear Algebra and its Applications, vol. 421, no. 2, pp. 243-251, 2007.

 

C.C. Paige, M. Rozloznik and Z. Strakos, Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES, SIAM Journal on Matrix Analysis and Applications, vol. 28, no. 1, pp. 264-284, 2006.

 

M. Arioli, J. Maryska, M. Rozloznik and M. Tuma, Dual Variable Methods for Mixed-Hybrid Finite Element Approximation of the Potential Fluid Flow Problem in Porous Media, ETNA, vol. 22, pp. 17-40, 2006.

 

C.C. Paige and Z. Strakos, Core Problems in Linear Algebraic Systems, SIAM Journal on Matrix Analysis and Applications, vol. 27, no. 3, pp. 861-875, 2006.

 

J. Cullum and M. Tuma, Matrix-Free Preconditioning using Partial Matrix Estimation, BIT, vol. 46, no. 4, pp. 711-729, 2006.

 

I. Marek and I. Pultarova, A Note on Local and Global Convergence Analysis of Iterative Aggregation-Disaggregation Methods, Linear Algebra and its Applications, vol. 413, no. 2-3, pp. 327-341, 2006.

 

G. Meurant and Z. Strakos, The Lanczos and Conjugate Gradient Algorithms in Finite Precision Arithmetic, Acta Numerica (Cambridge University Press), vol. 15, pp. 471-542, 2006.

 

J. Rohn, Regularity of Interval Matrices and Theorems of the Alternatives, Reliable Computing, vol. 12, no. 2, pp. 99-105, 2006.

 

J. Rohn, Perron Vectors of an Irreducible Nonnegative Interval Matrix, Linear and Multilinear Algebra, vol. 54, no. 6, pp. 399-404, 2006.

 

J. Liesen and Z. Strakos, GMRES Convergence Analysis for a Convection-Diffusion Model Problem, SIAM Journal on Scientific Computing, vol. 26, no. 6, pp. 1989-2009, 2005 (prepared with the support of the GA CR under grant 201/02/0595, finished within the Program Information Society under project 1ET400300415).

 

L. Giraud, J. Langou, M. Rozloznik and J. van den Eshof, Rounding Error Analysis of the Classical Gram-Schmidt Orthogonalization Process, Numerische Mathematik, vol. 101, no. 1, pp. 87-100, 2005.

 

Z. Strakos and P. Tichy, Error Estimation in Preconditioned Conjugate Gradients, BIT Numerical Mathematics, vol. 45, no. 4, pp. 789-817, 2005.

 

Z. Strakos and J. Liesen, On Numerical Stability in Large Scale Linear Algebraic Computations, Zeitschrift für Angewandte Mathematik und Mechanik, vol. 85, no. 5, pp. 307-325, 2005.

 

L. Giraud, J. Langou and M. Rozloznik, The Loss of Orthogonality in the Gram-Schmidt Orthogonalization Process, Computers and Mathematics with Applications, vol. 50, no. 7, pp. 1069-1075, 2005.

Institute of Geonics AS CR

 

J. Malik, Some Problems Connected with 2D Modeling of Geosynthetic Tubes, Nonlinear Analysis: Real World Applications, vol. 10, no. 2, pp. 810-823, 2009.

 

J. Malik, Generalized G-Convergence for Quasilinear Elliptic Differential Operators, Nonlinear Analysis: Theory, Methods and Applications, vol. 68, no. 2, pp. 304-314, 2008.

 

R. Blaheta, R. Kohut, M. Neytcheva and J. Starý, Schwarz Methods for Discrete Elliptic and Parabolic Problems with an Application to Nuclear Waste Repository Modelling, Mathematics and Computers in Simulation, vol. 76, pp. 18-27, 2007.

 

J. Malik, Nonlinear Models of Suspension Bridges, Journal of Mathematical Analysis and Applications, vol. 321, pp. 828-850, 2006.

 

J. Malik, Generalized Nonlinear Models of Suspension Bridges, Journal of Mathematical Analysis and Applications, vol. 324, pp. 1288-1296, 2006.

 

J. Malik, Asymptotic Behaviour of Solutions to Cable Stayed Bridge Equations, Journal of Mathematical Analysis and Applications, vol. 317, pp. 146-162, 2006.

 

R. Blaheta, P. Byczanski, O. Jakl, R. Kohut, A. Kolcun, K. Krecmer and 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, pp. 449-459, 2006.

 

R. Blaheta, M. Neytcheva and S. Margenov, Robust Optimal Multilevel Preconditioners for Nonconforming FE Systems, Numerical Linear Algebra with Applications, vol. 12, pp. 495-514, 2005 (prepared with the support of the GA AS CR under grant K 1019101, finished within the Program Information Society under project 1ET400300415).

VSB - Technical University of Ostrava

 

J. Bouchala, Z. Dostal and M. Sadowska, Theoretically Supported Scalable BETI Method for Variational Inequalities, Computing, vol. 82, no. 1, pp. 53-75, 2008.

 

Z. Dostal, On the Decrease of a Quadratic Function Along the Projected-Gradient Path, ETNA, vol. 31, pp. 25-29, 2008.

 

S. Berrone and T. Kozubek, An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains, SIAM Journal on Scientific Computing, vol. 28, no. 6, pp. 2114-2138, 2008.

 

Z. Dostal and D. Horak, Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities, SIAM Journal on Numerical Analysis, vol. 45, no. 2, pp. 500-513, 2007.

 

C. Canuto and T. Kozubek, A Fictitious Domain Approach to the Numerical Solution of PDEs in Stochastic Domains, Numerische Mathematik, vol. 107, no. 2, pp. 257-293, 2007.

 

Z. Dostal, D. Horak and O. Vlach, FETI-Based Algorithms for Modelling of Fibrous Composite Materials with Debonding, Mathematics and Computers in Simulation, vol. 76, pp. 57-64, 2007.

 

J. Haslinger, T. Kozubek, R. Kucera and G. Peichl, Projected Schur Complement Method for Solving Non-Symmetric Saddle-Point Systems Arising from Fictitious Domain Approach, Numerical Linear Algebra with Applications, vol. 14, no. 9, pp. 713-739, 2007.

 

R. Kucera, Minimizing Quadratic Functions with Separable Quadratic Constraints, Optimization Methods and Software, vol. 22, no. 3, pp. 453-467, 2007.

 

Z. Dostal, An Optimal Algorithm for a Class of Equality Constrained Quadratic Programming Problems with Bounded Spectrum, Computational Optimization and Applications, vol. 38, no. 1, pp. 47-59, 2007.

 

M. Domoradova and Z. Dostal, Projector Preconditioning for Partially Bound Constrained Quadratic Optimization, Numerical Linear Algebra with Applications, vol. 14, no. 10, pp. 791-806, 2007.

 

D. Lukas and Z. Dostal, Optimal Multigrid Preconditioned Semi-Monotonic Augmented Lagrangians Applied to the Stokes Problem, Numerical Linear Algebra with Applications, vol. 14, no. 9, pp. 741-750, 2007.

 

D. Lukas and P. Chalmoviansky, A Sequential Coupling of Optimal Topology and Multilevel Shape Design Applied to 2-dimensional Nonlinear Magnetostatics, Computing and Visualization in Science, vol. 10, no. 3, pp. 135-144, 2007.

 

Z. Dostal, D. Horak and D. Stefanica, A Scalable FETI-DP Algorithm for a Semi-coercive Variational Inequality, Computer Methods in Applied Mechanics and Engineering, vol. 196, no. 8, pp. 1369-1379, 2007.

 

S. Berrone and T. Kozubek, An Adaptive WEM Algorithm for Solving Elliptic Boundary Value Problems in Fairly General Domains, SIAM Journal on Scientific Computing, vol. 28, no. 6, pp. 2114-2138, 2006.

 

Z. Dostal, D. Horak and R. Kucera, Total FETI - An Easier Implementable Variant of the FETI Method for Numerical Solution of Elliptic PDE, Communications in Numerical Methods in Engineering, vol. 22, pp. 1155-1162, 2006.

 

Z. Dostal, An Optimal Algorithm for Bound and Equality Constrained Quadratic Programming Problems with Bounded Spectrum, Computing vol. 78, no. 4, pp. 311-328, 2006.

Other Publications

Institute of Computer Science AS CR

 

I. Pultarova, Iterative Aggregation - Disaggregation Methods and Ordering Algorithms, in electronic proceedings (CD) of the 3rd International Conference on Performance Evaluation Methodologies and Tools, October 20-24, 2008, Athens, Greece, 2008.

 

B. Sousedik, Comparison of Some Domain Decomposition Methods, PhD Thesis, Department of Mathematics at the Faculty of Civil Engineering, Czech Technical University, Prague, June 2008.

 

M. Plesinger, The Total Least Squares Problem and Reduction of Data in AX $\approx$ B, PhD Thesis, Faculty of Mechatronics and Interdisciplinary Engineering Studies, Technical University of Liberec, Liberec and Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, March 2008.

 

M. Hokr ed., SNA'08, Seminar on Numerical Analysis, Proceedings of the Seminar on Numerical Analysis (SNA), Technical University of Liberec, ISBN 978-80-7372-298-2, 2008. The proceedings contain 16 contributions of MSTeP members, authored by P. Beremlijski, R. Blaheta, J. Bouchala, Z. Dostal, J. Duintjer Tebbens, D. Horak, O. Jakl, P. Jiranke, R. Kohut, T. Kozubek, R. Kucera, D. Lukas, I. Pultarova, M. Rozloznik, M. Sadowska, B. Sousedik, J. Stary, Z. Strakos, S. Sysala, M. Tuma and V. Vondrak.

 

J. Mandel, B. Sousedik and C. R. Dohrmann, On Multilevel BDDC, Proceedings of Domain Decomposition Methods 17, Springer, LNCSE, pp. 288-294, 2007.

 

J. Duintjer Tebbens and M. Tuma, Improving Triangular Preconditioner Updates for Nonsymmetric Linear Systems, Lecture Notes in Computer Science, vol. 4818 (Proceedings of LSSC 2007), pp. 737-744, 2007.

 

I. Marek, P. Mayer and I. Pultarova, Convergence of Iterative Aggregation/Disaggregation Methods Based on Splittings with Cyclic Iteration Matrices, in 'Web Information Retrieval and Linear Algebra Algorithms', the proceedings of the Dagstuhl Seminar 07071, Andreas Frommer and Michael W. Mahoney and Daniel B. Szyld eds., 2007.

 

H. Burchardt and S. Ratschan, Estimating the Region of Attraction of Ordinary Differential Equations by Quantified Constraint Solving, in the proceedings of the 3rd WSEAS International Conference on DYNAMICAL SYSTEMS and CONTROL (CONTROL'07), WSEAS Press, pp. 241-246, 2007.

 

J. Kruis, P. Mayer and I. Marek, Preconditioning of Iterative Methods by BOOSS Algorithm (in Czech), in the proceedings of Vypocty konstrukci metodou konecnych prvku, Praha, 22. listopadu 2007. Ed. M. Spaniel, 2007.

 

J. Rohn, Nonsingularity, Positive Definiteness, and Positive Invertibility Under Fixed-Point Data Rounding, Applications of Mathematics, vol. 52, no. 2, pp. 105-115, 2007.

 

M. Plesinger and Z. Strakos, The Total Least Squares Problem in Tasks with Multiple Right Hand Side (in Czech), in the proceedings of the PhD. Conference "doktorandsky den '07", pp. 70-74, 2007.

 

J. Mandel and B. Sousedik, Adaptive Coarse Space Selection in the BDDC and the FETI-DP Iterative Substructuring Methods: Optimal Face Degrees of Freedom, in Domain Decomposition Methods in Science and Engineering XVI, Lecture Notes in Computational Science and Engineering, vol. 55, eds. Olof B. Widlund and David E. Keyes, Springer-Verlag, New York, pp. 421-428, 2006.

 

I. Hnetynkova, M. Plesinger and Z. Strakos, Lanczos Tridiagonalization, Golub-Kahan Bidiagonalization and Core Problem, in PAMM (Proceedings in Applied Mathematics and Mechanics), vol. 6, no. 1, pp. 717-718, 2006.

 

J. Taufer, Transforming the Boundary Value Problem to Be Solved to the Solution of a Sequence of Initial Value Problems (in Czech), in the Proceedings of ICPM'05 (Technical University Liberec), pp. 359-366, 2006.

 

I. Marek, Numerical Solution of the Disc Deflection Problem: Some Problems in Mathematical Modeling and Realization on Computer (in Czech), in the Proceedings of the 29th VSTEZ conference, Mutenice, pp. 137-146, 2006.

 

P. Jiranek and M. Rozloznik, On a Limiting Accuracy of Segregated Techniques for Saddle-Point Problems, in the proceedings of SIMONA: 3rd Int. Workshop on Simulation and Modelling and Numerical Analysis, TU Liberec, 2006.

 

M. Plesinger and Z. Strakos, Some Remarks on Bidiagonalization and its Implementation, in the proceedings of the 11th PhD. Conference of the Institute of Computer Science AS CR, pp. 104-114, 2006.

 

M. Tuma, eds., SNA'06, Seminar on Numerical Analysis, Proceedings of the Seminar on Numerical Analysis (SNA), Institute of Computer Science AS CR, Prague, 2006. The proceedings contain 18 contributions of MSTeP members, authored by P. Beremlijski, R. Blaheta, Z. Dostal, J. Duintjer Tebbens, I. Hnetynkova, R. Kohut, T. Kozubek, V. Kucera, D. Lukas, J. Malik, I. Marek, I. Pultarova, J. Stary, Z. Strakos, S. Sysala, J. Taufer and M. Tuma.

 

E. Bohl and I. Marek, Input-Output Systems in Biology and Chemistry and a Class of Models Describing Them, Applications of Mathematics, vol. 50, pp. 219-245, 2005.

 

J. Duintjer Tebbens, GMRES Acceleration Analysis for a Convection Diffusion Model Problem, in the proceedings of Algoritmy (Podbanske 2005), pp. 240-249, Slovak University of Technology, Bratislava, 2005.

 

I. Pultarova, Two Partial Results on Preconditioning Using Hierarchical Bilinear Finite Elements, in the proceedings of the XVIth Summer School Software and Algorithms of Numerical Mathematics, Srni, 2005.

 

J. Taufer, Transforming the Boundary Value Problem to be Solved to the Solution of a Sequence of Initial Value Problems (in Czech), in the proceedings of the International Conference Presentation of Mathematics'05, Liberec, 2005.

 

B. Sousedik and P. Burda, Finite Element Formulation of Three-dimensional Nonlinear Elasticity Problem, in the proceedings of the Seminar of applied mathematics in commemoration of the 100th birthday of Prof. Vycichlo (CVUT, Prague), 2005.

 

J. Taufer, Transfer of the Boundary Conditions for Boundary Value Problems for Selfadjoint Differential Equations of the 2n-th Order (in Czech), in the proceedings of the Sixth Seminar ("Determinismus a chaos") on Mathematics for Highschool, Herbertov, 2005.

 

I. Marek, Aggregation Variation for Google Matrices (in Czech), in the proceedings of the Sixth Seminar ("Determinismus a chaos") on Mathematics for Highschool, Herbertov, pp. 114-200, 2005.

 

M. Plesinger, The Core Problem in Least Squares Problems (in Czech), in the proceedings of the PhD. Conference "doktorandsky den '05", pp. 102-108, 2005.

 

B. Sousedik, Finite Element Solution Algorithm for Nonlinear Elasticity Problems by Domain Decomposition Method, in the proceedings of the 13th Conference of mathematics students of VSTEZ schools, 2005.

 

I. Marek, Schwarz-Like Methods for Approximate Solving Cooperative Systems, Kybernetika, vol. 40, pp. 611-624, 2004.

 

D.P. O'Leary and Z. Strakos, On Sensitivity of Gauss-Christoffel Quadrature Estimates, Science Department Report CS-TR-4622, Institute for Advanced Computer Studies Report UMIACS-2004-64, University of Maryland, October 2004.

Institute of Geonics AS CR

 

R. Blaheta, Application of Hierarchical Decomposition: Preconditioners and Error Estimates for Conforming and Nonconforming FEM, Lecture Notes in Computer Science, vol. 4818 (Proceedings of LSSC 2007), pp. 78-85, in 2008.

 

R. Kohut, J. Stary and A. Kolcun, The Evaluation of the Thermal Behaviour of an Underground Repository of the Spent Nuclear Fuel, Lecture Notes in Computer Science, vol. 4818 (Proceedings of LSSC 2007), pp. 425-432, in 2008.

 

R. Blaheta, P. Byczanski, R. Kohut and J. Starý, Parallel Computing Methods for Modelling THM Processes in Rocks, in the proceedings of the International Conference of IACMAG 12. Indian Institute of Technology Bombay - (Singh, D.ed. ), 2008.

 

R. Blaheta, P. Byczanski, R. Kohut and J. Starý, Modelling THM Processes in Rocks with the Aid of Parallel Computing, in the proceedings of the 3rd Int. Symp. GeoProc 2008, Jian-Fu Shao, Nicolas Burlion eds., ISTE and J. Wiley, London, pp. 373-380, 2008.

 

O. Jakl, R. Kohut and J. Starý, MPI and OpenMP Computations for Nuclear Waste Deposition Models, Springer LNCS series (Proceedings of PPAM 2007), vol. 4967, pp. 409-418, 2008.

 

R. Blaheta, R. Kohut, M. Neytcheva and J. Starý, Modelling of THM Processes in Rocks, Documenta Geonica 2007/2, Institute of Geonics, Ostrava, pp. 49-55, 2007.

 

R. Blaheta and K. Krecmer, Computer Implementation of microFEM, in the proceedings of the PhD Workshop 2007, Institute of Geonics, Ostrava, pp. 11-13, 2007.

 

S. Sysala, Algorithms for Semi-Coercive Beam Problem with a Unilateral Elastic Subsoil of Winkler's Type, in the proceedings of the PhD Workshop 2007, Institute of Geonics, Ostrava, pp. 67-74, 2007.

 

A. Kolcun and D. Pravda, Experiments with Volumetric Data Interpolation, in the proceedings of WSCG 2007, the 15th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2007, V. Skala ed., ZCU Plzen, pp. 57-59, 2007.

 

A. Kolcun and D. Pravda, Interpolation on Structured Meshes (in Slovakian), in the proceedings of ,,Moderní matematické metody v inženýrství", J. Doležalová ed., VŠB - Technická univerzita, Ostrava, pp. 136-139, 2007.

 

R. Blaheta, J. Starý eds., SNA'07, Seminar on Numerical Analysis & Winter School, Proceedings of the Seminar on Numerical Analysis (SNA), Institute of Geonics, Ostrava, ISBN 978-80-86407-12-8, 2007. The proceedings contain 19 contributions of MSTeP members, authored by P. Beremlijski, R. Blaheta, J. Bouchala, M. Domoradova, Z. Dostal, J. Duintjer Tebbens, D. Horak, I. Hnetynkova, O. Jakl, P. Jiranek, P. Kabelikova, R. Kohut, A. Kolcun, T. Kozubek, R. Kucera, D. Lukas, I. Marek, M. Plesinger, I. Pultarova, M., Rozloznik, M. Sadowska, J. Stary, Z. Strakos, S. Sysala, M. Tuma and O. Vlach.

 

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, pp. 3–14, 2006.

 

R. Kohut, J. Ondrej and J. Stary, Parallel Thermo-Mechanical Modelling for Nuclear Waste Deposition, in Frontiers of High Performance Computing and Networking - ISPA 2006 Workshops, LNCS 4331, Springer, Berlin, pp. 260–278, 2006.

 

J. Starý, R. Blaheta, O. Jakl and R. Kohut, Parallel Simulation of T-M Processes in Underground Repository of Spent Nuclear Fuel, in Recent Advances in Parallel Virtual Machine and Message Passing Interface. Proceedings of the 13th European PVM/MPI User´s Group Meeting, 2006. Springer, Berlin - (Mohr, B.), pp. 391-399, 2006.

 

R. Blaheta, P. Byczanski and M. Blahetova, A Fully Algebraic AMLI Method and Solution of Material Microstructure Problems, in IWMS: 15th International Workshop on Matrices and Statistics, Uppsala, 2006.

 

R. Blaheta, Multilevel Iterative Methods and Deflation, in ECCOMAS CFD 2006, European conference on Computational Fluid Dynamics, P. Wesseling, E. Onate, J. Periaux eds., TU Delft, 12pp., 2006.

 

J. Malik, Asymptotic Behaviour of Cable Stayed and Suspension Bridges in Lateral Wind, in the proceedings of MAFELAP2006, Mathematics of Finite Elements and Applications, London, Brunel University, pp. 146-162, 2006.

 

R. Blaheta, Hierarchical FEM: Strengthened CBS Inequalities, Error Estimates and Iterative Solvers, published in the proceedings of PANM: Programs and Algorithms of Numerical Mathematics 13, Math. Institute AS CR, Prague, pp. 24-29, 2006.

 

R. Kohut, R. Blaheta, A. Kolcun, J. Malík and J. Starý, Computations of Thermo-Elastic Responses of Rocks in the Vicinity of Geological Deposition of the Spent Nuclear Fuel, in the proceedings of SIMONA: 3rd Int. Workshop on Simulation and Modelling and Numerical Analysis, TU Liberec, 2006.

 

R. Blaheta, Schwarz Methods for Simulation of THM Processes, in the proceedings of SIMONA: 3rd Int. Workshop on Simulation and Modelling and Numerical Analysis, TU Liberec, 2006.

 

S. Sysala, FETI Method, in the proceedings of the Ph.D. Workshop 2006, Institute of Geonics, Ostrava, pp. 73-77, 2006.

 

K. Krecmer, Implementation Means for Numerical Mathematics, in the proceedings of the Ph.D. Workshop 2006, Institute of Geonics, Ostrava, pp. 69-72, 2006.

 

R. Blaheta, S. Margenov and M. Neytcheva, Aggregation-Based Multilevel Preconditioning of Non-Conforming FEM Elasticity Problems, J. Dongarra, K. Madsen, and J. Wasniewski (Eds.): PARA 2004, LNCS 3732, pp. 847-856, Springer-Verlag Berlin Heidelberg, 2005 (prepared with the support of the GA AS CR under grant K 1019101, finished within the Program Information Society under project 1ET400300415).

 

R. Blaheta, J. Starý eds., SNA'05, Seminar on Numerical Analysis, Proceedings of the Seminar on Numerical Analysis (SNA), Institute of Geonics, Ostrava, ISBN 80-86407-04-7, 2005. The proceedings contain 18 contributions of MSTeP members, authored by P. Beremlijski, R. Blaheta, Z. Dostal, J. Duintjer Tebbens, D. Horak, I. Hnetynkova, O. Jakl, T. Kozubek, D. Lukas, I. Marek, I. Pultarova, P. Ralek, M. Rozloznik, J. Stary, Z. Strakos, P. Tichy, M. Tuma and O. Vlach.

VSB - Technical University of Ostrava

 

D. Horak and Z. Dostal, FETI-DP for Variational Inequalities with Corners on the Contact Interface, Proceedings of the Sixth International Conference on Engineering Computational Technology, M. Papadrakakis and B.H.V. Topping, (Editors), Civil-Comp Press, Stirlingshire, Scotland, 2008.

 

Z. Dostal, V. Vondrak, D. Horak, C. Farhat and P. Avery, Scalable FETI Algorithms for Frictionless Contact Problems, Proceedings of Domain Decomposition Methods 17, Springer, LNCSE, pp. 263-270, 2008.

 

D. Lukas and Z. Dostal, Semi-Monotonic Augmented Lagrangians for Optimal Control and Parameter Identification, Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2007, pp. 621-628, 2008.

 

J. Bouchala, Z. Dostal and M. Sadowska, Scalable BETI for Variational Inequalities, in the proceedings of Domain Decomposition Methods 17, Springer, LNCSE, pp. 167-174, 2008.

 

D. Lukas and J. K. Kraus, A Fixed-Grid Finite Element Algebraic Multigrid Approach for Interface Shape Optimization Governed by 2-Dimensional Magnetostatics, in the proceedings of the 6th International Conference on Large-Scale Scientific Computations, Lecture Notes in Computer Science, vol. 4818, pp. 94-102, 2007.

 

D. Lukas, Multigrid-Based Optimal Shape and Topology Design in Magnetostatics, in the proceedings of NM&A 2006, Lecture Notes in Computer Science vol. 4310, pp. 82-91, 2007.

 

Z. Dostal, D. Horak and D. Stefanica, An Overview of Scalable FETI-DP Algorithm for Variational Inequalities, in Domain Decomposition Methods in Science and Engineering XVI, Lecture Notes in Computational Science and Engineering, vol. 55, eds. Olof B. Widlund and David E. Keyes, Springer-Verlag, New York, pp. 223-230, 2006.

 

Z. Dostal, D. Horak and D. Stefanica, Quadratic Programming and Scalable Algorithms for Variational Inequalities, in Numerical Mathematics and Advanced Applications - ENUMATH 2005 , eds. A. B. de Castro, D. Gomez, P. Quintela and P. Salgado. Springer-Verlag, New York, pp. 61-76, 2006.

 

D. Lukas, A Multigrid Method for Coupled Optimal Topology and Shape Design in Nonlinear Magnetostatics, in Numerical Mathematics and Advanced Applications - ENUMATH 2005 , eds. A. B. de Castro, D. Gomez, P. Quintela and P. Salgado. Springer-Verlag, New York, pp. 1015-1022, 2006.

 

R. Kucera, T. Kozubek and J. Haslinger, On Solving Non-Symmetric Saddle-Point Systems Arising from Fictitious Domain Approaches, published in the proceedings of PANM: Programs and Algorithms of Numerical Mathematics 13, Math. Institute AS CR, Prague, pp. 165-171, 2006.

 

J. Bouchala, Z. Dostal and M. Sadowska, Solution of Boundary Variational Inequalities by Combining Fast Quadratic Programming Algorithms with Symmetric BEM, published in Advances in Boundary Integral Methods - Proceedings of the 5th UK Conference on Boundary Integral Methods, ed. Ke Chen, University of Liverpool, pp. 221-228, 2005.

Edited Special Issues of Journals

Institute of Geonics AS CR

 

P. Butkovic, L. Hogben, R. Nabben, Z, Strakos and M. Tuma eds., Special Issue in Honor of Miroslav Fiedler, special issue of Linear Algebra and its Applications, vol. 421, no. 2-3, pp. 173-440, 2007.

 

R. Blaheta, J. Nedoma eds., Numerical Modelling in Geomechanics and Geodynamics, special issue of Future Generation Computer Systems, vol. 22, no. 4, 2006.