PAPERS IN IMPACTED JOURNALS
[32] Haslinger, J., Kučera, R., Motyčková, K., átek, V:
Stokes problem with the Coulomb stickslip boundary conditions in 3D: Formulations, approximation, algorithms, and experiments.
Mathematics and Computers in Simulation, 216(2024), pp. 145-167. (IF 4.6, D4/D2/C2)
pdf
[31] Haslinger, J., Kučera, R., Motyčková, K., átek, V:
Numerical modeling of the leak through semipermeable walls for 2D/3D Stokes flow: experimental scalability of dual algorithms.
Mathematics, 9:22(2021), 2906; https://doi.org/10.3390/math9222906. (IF 2.258, Q1)
[30] Haslinger, J., Kučera, R., Sassi, T., átek, V:
Dual strategies for solving the Stokes problem with stick-slip boundary conditions in 3D.
Mathematics and computers in simulation, 189(2021), pp. 191-206. (IF 2.463, Q3/Q1/Q2) (https://doi.org/10.1016/j.matcom.2020.12.015).
[29] Kučera, R., Motyčková, K., Markopoulos, A., Haslinger, J.: On the inexact symmetrized globally convergent semi-smooth Newton method for 3D contact problems with Tresca friction: the R-linear convergence rate.
Optimization methods and software, 35:1(2020), pp. 66-86. (IF 1.183, Q3/Q3/Q2)
[28] Djoko, J., Koko, J., Kučera, R.: Power law Stokes equations with threshold slip boundary conditions: Numerical methods and implementation.
Mathematical Methods in the Applied Sciences, 42(January 2019), pp. 1488-1511. https://onlinelibrary.wiley.com/doi/10.1002/mma.5443 (IF 1.18, Q2)
[27] Brzobohatý, T., Jaroová, M., Kučera, R., átek, V.: Path-following interior point method: theory and applications for the Stokes flow with a stick-slip boundary condition.
Advances in Engineering Software, 129(2019), pp. 35-43. (IF 3.198, Q1/Q1/Q1)
[26] Haslinger, J., Kučera, R., átek, V.: Stokes system with local Coulomb's slip boundary conditions: analysis of discretized models and implementation.
Computers and Mathematics with Applications, 77:6(2019), pp. 1655-1667. https://doi.org/10.1016/j.camwa.2018.04.032 (IF 1.860, Q1)
[25] Haslinger, J., Kučera, R., átek, V., Sassi, T.: Stokes system with solution-dependent threshold slip boundary conditions: Analysis, approximation and implementation.
Mathematics and Mechanics of Solids, 23:3(2018), pp. 294-307. https://doi.org/10.1177/1081286517716222 (IF 2.545, Q2/Q1/Q1)
Accession Number: WOS:000429895300004, eid=2-s2.0-85044166501, ISSN: 1081-2865
[24] Haslinger, J., Janovský, V., Kučera, R., Motyčková, K.: Non-smooth continuation of parameter dependent static contact problems with Coulomb friction.
Mathematics and Computers in Simulation, 145(2018), pp. 62-78. https://doi.org/10.1016/j.matcom.2017.08.001
pdf (IF 1.476, Q3/Q2/Q1)
Accession Number: WOS:000416128600006, eid=2-s2.0-85028768677, ISSN: 0378-4754
[23] Kučera, R., Haslinger, J., átek, V., Jaroová, M.: Efficient methods for solving the Stokes problem with slip boundary conditions.
Mathematics and Computers in Simulation, 145(2018), pp. 114-124. https://doi.org/10.1016/j.matcom.2016.05.012
pdf (IF 1.476, Q3/Q2/Q1)
Accession Number: WOS:000416128600010, eid=2-s2.0-84997481985, ISSN: 0378-4754
[22] Kučera, R., átek, V., Haslinger, J., Fialová, S., Pochylý. F.: Modeling of hydrophobic surfaces by the Stokes problem with the stickslip boundary conditions.
ASME. J. Fluids Eng. 2017; 139(1):011202-011202-9. doi:10.1115/1.4034199
(IF 1.437).
[21] Kučera, R., Motyčková, K., Markopoulos, A.: The R-linear convergence rate of an algorithm arising from the semi-smooth Newton method applied to 2D contact problems with friction.
Computational Optimization and Applications, 2(2015), 61, pp. 437-461.
pdf
(IF 1.520)
[20] Haslinger, J., Kučera, R., Riton, J., Sassi, T.: A domain decomposition method for two-body contact problems with Tresca friction.
Advances in Computational Mathematics, 40(2014), 1, pp. 65-90. DOI 10.1007/s10444-013-9299-y
pdf
(IF 1.468)
[19] Kučera, R., Machalová, J., Netuka, M., enčák, P.:
An interior point algorithm for the minimization arising from 3D contact problems with friction.
Optimization Methods and Software, 28(2013), 6, pp. 1195-1217. DOI 10.1080/10556788.2012.684352
pdf
(IF 1.032)
[18] Kučera, R., Kozubek, T., Markopoulos, A.: On large-scale generalized inverses in solving two-by-two block linear systems.
Linear Algebra and Its Applications, 438(2013), pp. 3011-3029. http://dx.doi.org/10.1016/j.laa.2012.09.027
pdf
(IF 1.011)
[17] Haslinger, J., Kučera, R., Vlach, O., Baniotopoulos, C. C.:
Approximation and numerical realization of 3D quasistatic contact problems with Coulomb friction.
Mathematics and Computers in Simulation, 82(2012), 10, pp. 1936-1951.
pdf
(IF 0.953)
[16] Kučera, R., Kozubek, T., Markopoulos, A., Machalová, J.:
On the MoorePenrose inverse in solving saddle-point systems with singular diagonal blocks.
Numerical Linear Algebra with Applications, 19(2012), pp. 677-699 .
pdf
(IF 1.168)
[15] Haslinger, J., Kučera, R., Ligurský, T.:
Qualitative analysis of 3D elastostatic contact problems with orthotropic Coulomb friction and solution-dependent coefficients of friction.
Journal of Computational and Applied Mathematics, 235(2011), 12, pp. 3464-3480.
pdf
(IF 1.356)
[14] Dostál, Z., Kučera, R.: An optimal algorithm for minimization of quadratic functions with bounded spectrum subject to separable
convex inequality and linear equality constraints.
SIAM Journal on Optimization, 20(2010), 6, pp. 2913-2938.
pdf
(IF 1.525)
[13] Ligurský, T., Haslinger, J., Kučera, R.:
Approximation and numerical realization of 3D contact problems with Coulomb friction and a solution-dependent coefficient of friction.
International Journal for Numerical Methods in Engineering, 82(2010), 9, pp. 1180-1206.
pdf and
(IF 2.025)
[12] Beremlijski, P., Haslinger, J., Kočvara, M., Kučera, R., Outrata, J.:
Shape optimization in three-dimensional contact problems with Coulomb friction.
SIAM Journal on Optimization, 20(2009), 1, pp. 416-444.
pdf
(IF 1.525)
[11] Haslinger, J., Kozubek, T., Kučera, R.:
Fictitious domain formulation of unilateral problems: analysis and algorithms.
Computing, 84(2009), 1, pp. 69-96.
pdf
(IF 1.033)
[10] Kučera, R.:
Convergence rate of an optimization algorithm for minimizing quadratic functions with separable convex constraints.
SIAM Journal on Optimization, 19(2008), 2, pp. 846-862.
pdf and
(IF 1.525)
[9] Haslinger, J., Kozubek, T., Kučera, R., Peichl G.:
Projected Schur complement method for solving non-symmetric saddle-point systems arising
from fictitious domain approach.
Numerical Linear Algebra with Applications, 14(2007), 9, pp. 713-739 .
pdf
(IF 0.860)
[8] Kučera, R.:
Minimizing quadratic functions with separable quadratic constraints.
Optimization Methods and Software, 22(2007), 3, pp. 453-467.
pdf
(IF 0.563)
DOI:10.1080/10556780600609246
[7] Dostál, Z., Horák, D., Kučera, R.:
Total FETI - an easier implementable variant of the FETI method for numerical solution of
elliptic PDE.
Communications in Numerical Methods in Engineering, 22(2006), 12, pp. 1155-1162.
pdf
(IF 0.389)
DOI:10.1002/cnm.881
[6] Dostál, Z., Horák, D., Kučera, R., Vondrák, V., Haslinger, J., Dobiá, J., Pták, S.:
FETI based algorithms for contact problems: scalability, large displacements and 3D Coulomb friction.
Comput. Methods in Appl. Mech. Engrg., 194(2005), 2-5, pp. 395-409.
(IF 1.553)
[5] Kučera, R.:
Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations.
Appl. Math., 50(2005), 3, pp. 291-308.
pdf
(IF 0.390)
[4] Haslinger, J., Kučera, R., Dostál, Z.:
An algorithm for the numerical realization of 3D contact problems with Coulomb friction.
J. Comput. Appl. Math., 164-165(2004), pp. 387-408.
(IF 0.569)
[3] Dostál, Z., Haslinger, J., Kučera, R.:
Implementation of fixed point method for duality based solution of contact problems with friction.
J. Comput. Appl. Math., 140(2002), 1-2, pp. 245-256.
(IF 0.533)
[2] Haslinger, J., Dostál, Z., Kučera, R.:
On a splitting type algorithm for the numerical realization of contact problems with Coulomb friction.
Comput. Methods in Appl. Mech. Engrg., 191(2002), pp. 2261-2281.
(IF 0.966)
[1] Kučera, R., Vlček, J., Vlček, K.:
DSP implementation of image compression by multiresolutional analysis.
Radioengineering, 7(1998), 1, pp. 7-9.
ISSN 1210-2512
(IF 0.503)
OTHER PAPERS
[107] Kučera, R., Arzt, V., Haslinger, J., átek, V.: Numerical solution of the Navier-Stokes system with the stick-slip boundary conditions.
AIP Conference Proceedings, Volume 2849, September 01 2023, pages 310005. (https://doi.org/10.1063/5.0162188)
[106] Haslinger, J., Kučera, R., átek, V.:
The semi-smooth Newton method for solving the Stokes flow with Coulomb slip boundary conditions.
AIP Conference Proceedings, Volume 2116, 07 month 2019, pages 320003. (doi 10.1063/1.5114325)
[107] Kučera, R., Motyčková, K., átek, V., Haslinger, J., Sassi, T.:
The semi-smooth Newton method for solving the Stokes flow under the leak boundary condition.
AIP Conference Proceedings, Volume 2116, 07 month 2019, pages 320008. (doi 10.1063/1.5114330)
[104] Markopoulos A., Říha L., Brzobohatý T., Meca O., Kučera R., Kozubek T. (2018):
The HTFETI method variant gluing cluster subdomains by kernel matrices representing the rigid body motions.
In: Bjorstad P. et al. (eds) Domain Decomposition Methods in Science and Engineering XXIV. DD 2017.
Lecture Notes in Computational Science and Engineering, vol 125. Springer, Cham, pp 543-551, First Online: 05 January 2019.
eid=2-s2.0-85060284230, Print ISBN 978-3-319-93872-1, Online ISBN 978-3-319-93873-8
[103] Kučera, R., Motyčková, K., Pacholek, J., Sassi, T.:
The semi-smooth Newton method for solving the Stokes problem with the stick-slip boundary condition.
AIP Conference Proceedings, Volume 1978, 10 July 2018, Article number 360003.
eid=2-s2.0-85049959536, ISSN: 0094-243X
[102] Haslinger, J., Kučera, R., átek, V., Pochylý, F.:
Numerical modelling of the Stokes flow with Coulomb slip boundary conditions.
AIP Conference Proceedings, Volume 1978, 10 July 2018, Article number 360002.
eid=2-s2.0-85049938482, ISSN:0094-243X
[101] Jaroová, M., Kučera, R., átek, V.: A path-following algorithm for Parallel Solving of the Stokes problem with the stick-slip boundary condition.
Civil-Comp Proceedings, Volume 111, 2017. doi:10.4203/ccp.111.7
[100] Markopoulos, A., Říha, L., Brzobohatý, T., Jirůtková, P., Kučera, R., Meca, O., Kozubek, T.: Treatment of singular matrices in the hybrid total FETI method.
Lecture Notes in Computational Science and Engineering, Volume 116, 2017, Pages 237-244.
[99] Markopoulos, A., Kučera, R., Brzobohatý, T., Říha, L., Meca, O., Ryka, V., Kozubek, T.: HTFETI method for non-symmetric problems.
Civil-Comp Proceedings, Volume 111, 2017. doi:10.4203/ccp.111.5
[98] Jaroová, M., Kučera, R., átek, V.: Předpodmínení algoritmu sledování cesty pro Stokesovo proudení se skluzovou podmínkou.
In: Sborník z 26. semináře Moderní matematické metody v inenýrství, česko-polský seminář. Rybnik 2017, pp. xx-xx.
[97] Kučera, R., Haslinger, J., Motyčková, K., Markopoulos, A.: Symetrizovaná nehladká Newtonova metoda pro řeení 3D kontaktních úloh.
In: Sborník z 26. semináře Moderní matematické metody v inenýrství, česko-polský seminář. Rybnik 2017, pp. xx-xx.
[96] Motyčková, K., Kučera, R., Markopoulos, A., átek, V.: Comparisons of the semi-smooth Newton method for solving contact problems with the Tresca friction in 2D and 3D.
AIP Conference Proceedings 1863, 340010 (2017); https://doi.org/10.1063/1.4992517.
[95] Kučera, R., , átek, V., Haslinger, J., Pochylý, F., Koko, J.,Sassi, T.: Numerical modelling of the Stokes flow with threshold slip boundary conditions.
AIP Conference Proceedings 1863, 340007 (2017); https://doi.org/10.1063/1.4992514.
[94] Haslinger, J., Kučera, R., átek, V.: Stokes system with solution dependent threshold slip boundary conditions: approximation and numerical realization.
In: Proceedings SNA'17, Ostrava, pp. 63-66. ISBN 978-80-86407-64-7
[93] Kučera, R., átek, V., Jaroová, M., Kozubek, T.: The Stokes flow with friction.
AIP Conference Proceedings 1648, 830003 (2015); https://doi.org/10.1063/1.4913029.
pdf
[92] Kučera, R., Haslinger, J., átek, V., Jaroová, M.: Stokes problem with friction.
In: Proc. Modern Mathematical Methods in Engineering (3mi), Horní Lomná, VB-TU Ostrava, 2015, pp. 44-53.
[91] Kučera, R., átek, V., Jaroová, M., Haslinger, J.: The Stokes problem with friction.
In: Proceedings SNA'15, Ostrava, January 2015, pp. 63-66 .
[90] Jaroová, M., Kučera, R., átek, V.: A new variant of the path-following algorithm for the parallel solving of the Stokes problem with friction.
Civil-Comp Proceedings, Volume 107, 2015. doi:10.4203/ccp.107.11
[89] Haslinger, J., Kučera, R., Sassi, T.: A domain decomposition algorithm for contact problems with Coulomb's friction.
Domain Decomposition Methods in Science and Engineering XXI, Series: Lecture Notes in Computational Science and Engineering, Vol. 98,
Erhel, J., Gander, M.J., Halpern, L., Pichot, G., Sassi, T., Widlund, O.B. (Eds.), 2014, XX, pp. 889-897.
pdf
[88] Markopoulos, A., Dostál, Z., Kozubek, T., Kovář, P., Brzobohatý, T., Kučera, R.: Stable computations of generalized inverses of positive semidefinite matrices.
Domain Decomposition Methods in Science and Engineering XXI, Series: Lecture Notes in Computational Science and Engineering, Vol. 98,
Erhel, J., Gander, M.J., Halpern, L., Pichot, G., Sassi, T., Widlund, O.B. (Eds.), 2014, XX, pp. 909-916.
pdf
[87] Haslinger, J., Kučera, R., Kozubek, T.:
Convex programming with separable ellipsoidal constraints: application in contact problems with orthotropic friction.
Optimization with PDE Constraints, ESF Networking Program 'OPTPDE', Springer Series: Lecture Notes in Computational Science and Engineering, Vol. 101,
Hoppe, R.(Ed.), 2014, XII, pp. 221-242 (ISBN 978-3-319-08025-3).
pdf
[86] Kučera, R., Motyčková, K., Markopoulos: Inexact SSNM for solving frictional contact problems.
In: Proc. Modern Mathematical Methods in Engineering (3mi), Horní Lomná, VB-TU Ostrava, 2014, pp. 58-61.
pdf
[85] Kučera, R., Kozubek, T., Markopoulos, A., Haslinger, J., Mocek, L.: Projected Krylov methods for solving non-symmetric two-by-two block linear systems arising from fictitious domain formulations.
Advances in Electrical and Electronic Engineering, 12:2 (2014), 131-143.
pdf
[84] Haslinger, J., Janovský, V., Kučera, R.: Path-following the static contact problem with Coulomb friction.
In: Proceedings of the International Conference Applications of Mathematics 2013:
Institute of Mathematics, Academy of Sciences of the Czech Republic, Prague 2013, 104-116.
pdf
[83] Motyčková, K., Kučera, R.: Semi-smooth Newton method for solving 2D contact problems with Tresca and Coulomb friction.
Advances in Electrical and Electronic Engineering 11(2013), 3, pp. 218-226.
pdf
[82] Kučera, R., Kozubek, T., Markopoulos, A., Haslinger, J., Mocek, L.: Projected Krylov methods between two subspaces.
In: Proc. Modern Mathematical Methods in Engineering (3mi), Horní Lomná, VB-TU Ostrava, 2013, pp. 46-50.
pdf
[81] Haslinger, J., Kučera, R.: T-FETI based algorithm for 3D contact problems with orthotropic friction. Lecture Notes in Applied and Computational Mechanics, Vol. 56 (2013), pp. 131-149.
pdf
[80] Haslinger, J., Kučera, R., Kozubek, T.: Numerical solution of contact problems with orthotropic Coulomb friction based on quadratic programming approach with the elliptic friction cone.
Unpublished paper (2011).
pdf
[79] Kučera, R., Machalová, J., Netuka, H., enčák, P.: Interior point method for 3D contact problems with friction.
In: Proceedings SNA'12, Liberec, January 2012, 4 pages.
pdf
[78] Janovský, V., Kučera, R.: Continuation of the static contact problem with Coulomb friction.
In: Proceedings SNA'12, Liberec, January 2012, 4 pages.
pdf
[77] enčák, P., Kučera, R.: Metoda sledování cesty pro kontaktní úlohu ve 3D.
In: Proc. The latest mathematical methods in engineering(2010), Dolní Lomná, VB-TU Ostrava, str. 128-135.
pdf
[76] Riton, J., Sassi, T., Kučera, R.:
On domain decomposition algorithms for contact problems with Tresca friction.
Domain Decomposition Methods in Science and Engineering XIX, Series: Lecture Notes in Computational Science and Engineering, Vol. 78,
Huang, Y.; Kornhuber, R.; Widlund, O.; Xu, J. (Eds.), 1st Edition., 2011, XV, pp. 367-374 (ISBN: 978-3-642-11303-1).
pdf
[75] Dostál, Z., Haslinger, J., Kozubek, T., Kučera, R.:
An algorithm for 3D contact problems with orthotropic friction.
In: Proceedings SNA'10, Nové Hrady, January 2010, pp. 53-56.
pdf
[74] Kučera, R., Machalová, J.: On determining the MoorePenrose inverse.
In: Proc. ODAM 2009, Olomouc, pp.4-22.
pdf
[73] Machalová, J., Kučera, R., enčák, P.: Metody vnitřních bodů pro řeení kontaktních úloh.
In: Proc. ODAM 2009, Olomouc, pp. 23-40.
pdf
[72] Dostál, Z., Kozubek, T., Vondrák, V., Sadowská, M., Kučera, R., Markopulos, A., Brzobohatý, T.:
Parallel Matsol library for solution problems of contact mechanics.
Ročenka VB-TU Ostrava, 2009.
pdf
[71] Haslinger, J., Kozubek, T., Kučera, R.:
Fictitious domain formulation of unilateral problems.
Ročenka VB-TU Ostrava, 2009.
pdf
[70] Haslinger, J., Kučera, R., Vlach, O.:
Pouití T-FETI pro řeení 3D kvazistatických kontaktních úloh s Coulombovým třením.
In: Proceedings SNA'09, Ostrava, February 2009, pp. 43-44.
[69] Haslinger, J., Kozubek, T., Kučera, R.:
Fictitious domain method for linear elasticity.
In: Proceedings SNA'09, Ostrava, February 2009, pp. 39-42.
pdf
[68] Beremlijski, P., Haslinger, J., Kočvara, M., Kučera, R., Outrata, J.:
Tvarová optimalizace pro 3D kontaktní problém s Coulombovým třením - o citlivostní analýze.
In: Proceedings SNA'09, Ostrava, February 2009, pp. 7-10.
[67] Kučera, R., Haslinger, J., Dostál, Z.:
Scalable algorithm for solving 3D contact problems.
In.: PAMM, Proc. Appl. Math. Mech. 7, 10252011025202 (2007).
pdf
DOI: 10.1002/pamm.200700664
[66] Haslinger, J., Kučera, R., Sassi, T.:
A domain decomposition algorithm for contact problems: analysis and implementation.
Math. Model. Nat. Phenom., 4(2009), no. 1, pp. 123-146.
pdf
[65] Kučera, R., Machalová, J., enčák, P.: Interior point algorithms for 3D contact problems.
In: Proceedings PANM14, Horní Maxov, May 2008, pp. 111-117.
pdf
[64] Praks, P., Izquierdo, E., Kučera R.:
The sparse image representation for automated image retrieval.
ICIP 2008 - 15th IEEE International Conference on Image Processing.
October 12-15, 2008. San Diego, California, U.S.A. IEEE Catalog No.: CFP08CIP-CDR, pp. 25-28.
ISBN: 978-1-4244-1764-3, ISSN: 1522-4880
[63] Haslinger, J., Kozubek, T., Kučera, R.:
On a fictitious domain method for unilateral problems.
In.: Numerical Mathematics and Advanced Applications (EUMATH 2007),
eds.: K. Kunisch, G. Of, O. Steinbach, Springer 2008, pp. 803-810.
pdf
[62] Haslinger, J., Kučera, R., Vlach, O.:
Bifurcations in contact problems with local Coulomb friction.
In.: Numerical Mathematics and Advanced Applications (EUMATH 2007),
eds.: K. Kunisch, G. Of, O. Steinbach, Springer 2008, pp. 811-818.
pdf
[61] Kučera, R.:
On minimizing quadratic functions with separable convex constraints.
Ročenka VB-TU Ostrava, 2008.
pdf
[60] Haslinger, J., Kozubek, T., Kučera, R.:
An algorithm for solving non-symmetric systems arising from smoother FDM.
Ročenka VB-TU Ostrava, 2007.
pdf
[59] Haslinger, J., Kozubek, T., Kučera, R.:
Semi-smooth Newton method for solving unilateral problems in fictitious domain formulations.
In: Proceedings SNA'08, Liberec, January 2008, pp. 58-61.
pdf
[58] Beremlijski, P., Haslinger, J., Kočvara, M., Kučera, R., Outrata, J.:
Tvarová optimalizace pro 3D kontaktní problém s Coulombovým třením.
In: Proceedings SNA'08, Liberec, January 2008, pp. 12-15.
[57] Kučera, R., Kozubek, T., Haslinger, J.:
On solving non-symmetric saddle-point systems arising from fictitious domain approaches.
In: Proceedings PANM13, Prague, May 28-31, 2006, pp. 165-171. (published 2007)
pdf
[56] Haslinger, J., Kozubek, T., Kučera, R.:
A smooth variant of the fictitious domain approach.
In: Proceeding SAN'07, Ostrava, January 22-26 2007, pp. 31-36.
pdf
[55] Kučera, R., Haslinger, J., Dostál, Z.:
A new FETI based algorithm for solving 3D contact problems with Coulomb friction.
Lecture Notes in Computational Science and Engineering, 55(2007), pp. 643-650.
pdf
[54] Kučera, R., Haslinger, J., Dostál, Z.:
Quadratic programming with separable convex constraints and solving of 3D contact problems with friction.
In: Proc. SANM 16, Srní, September 12-16 2005, published 2006, pp. 136-143.
pdf
[53] Praks, P., Kučera, R.:
Case study of a domain decomposition method for efficient structural analysis.
In: Proc. SANM 16, Srní, September 12-16 2005, published 2006, pp. 207-219.
pdf
[52] Kučera, R., Haslinger, J., Dostál, Z.:
The FETI based domain decomposition method for solving 3D-multibody contact problems with Coulomb friction.
Lecture Notes in Computational Science and Engineering, 40(2005), pp. 369-376.
[51] Kučera, R.:
Complexity of an algorithm for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretizations.
Appl. Math., 50(2005), 3, pp. 291-308.
pdf
[50] Praks, P., Kučera, R., Broovský, J.:
Stable block conjugate gradient algorithm for FETI-based domain decomposition method and probabilistic reliability assessment of structures.
In: Proc. Computational and experimental analysis of strength, eds: K. Frydrýek,
VBTU Ostrava, Department of Mechanics of Materials, 2005.
ISBN 3-527-40563 (CDROM)
[49] Kučera, R., Haslinger, J., Dostál, Z.:
An algorithm for solving 3D contact problems with friction.
In: Proc. ICNAAM 2004, eds: T. E. Simos, Ch. Tsitouras, WILEY-VCH Verlag GmbH & Co. KGaA, pp. 217-220.
pdf
[48] Kučera, R.:
A fast method for solving saddle-point linear systems with singular blocks.
In: Proc. IMET 2004, Institut of Geonics AS CR Ostrava, pp. 101-104.
[47] Kučera, R.:
Complexity and memory requirements of an algorithm for solving saddle-point systems with singular blocks.
In: Proc. PANM 13(2004)}, MI AS CZ Prague, pp. 131-135.
[46] Kučera, R.:
An algorithm for solving 3D contact problems with friction.
In: Proc. The latest mathematical methods in engineering(2002), Dolní Lomná, VB-TU Ostrava, pp. 111-115.
[45] Kučera, R., Dostál, Z., Haslinger, J.:
3D-Multibody contact problem with Coulomb friction.
In: Proc. Numerical Analysis, VB-TU Ostrava, pp. 35-36., 2003. ISBN 0377-0427
[44] Častová, N., Dráková, E., Kučera, R.:
Solving of the stationary geoelectrical field in the non-homogeneous environment.
In: Proc. Aplimat 2003, Slovak University of Technology, Bratisalva, pp. 263-268. ISBN 80-227-1813-0
[43] Kučera, R.:
A fast method for solving saddle-point systems with singular blocks arising in wavelet-Galerkin discretization of PDEs.
In: Proc. ODAM 2003 (CDROM).
[42] Častová, N., Dráková, E., Kučera, R.:
A wavelet multilevel solution of the stationary geoelectrical field in the non-homogeneous environment.
Mathematical Modelling, Vol. 14, No. 5 (2002), Moscow, Nauka, RAS, pp. 98-108.
ISSN 0234-0879
[41] Kučera, R.:
A numerical realization of 3D contact problems with Coulomb friction.
In: Proceedings PANM11, Horní Maxov, May 2002, pp. 139-146.
ISBN 80-85823-49-7
[40] Kučera, R., Dráková, E.:
Fast solving of saddlepoint system of linear equatios.
In: Proc. The latest mathematical methods in engineering(2002), Dolní Lomná, VB-TU Ostrava, pp. 136-141.
ISBN 80-248-0184-1
[39] Kučera, R.: Algorithms for 3D contact problems with Coulomb friction.
In: Proc. The latest mathematical methods in engineering(2002), Dolní Lomná, VB-TU Ostrava, pp. 128-135.
ISBN 80-248-0184-1
[38] Kučera, R., Dráková, E. :
Wavelet solution of the stationary geoelectrical field in the non-homogeneous environment.
In: Proc. Transaction of the VB-Technical University of Ostrava, Computer Science and Mathematics Series},
Vol.1 (2001), Ostrava, pp. 109-113.
ISBN 80-7078-905-0, ISSN 1213-4279
[37] Častová, N., Dráková, E., Kučera, R.:
Solution of the direct problem of the stationary geoelectrical field in non-homogeneous domain by the wavelet bases.
In: Proc. Seismology and engineering geophysics - past, present and future (2001),
Inst. of Geonics AV ČR Ostrava, pp. 55-61. ISBN 80-86407-00-4
[36] Častová, N., Dráková, E., Kučera, R.:
Solution of the direct geophysical problem by means of the wavelet bases.
In: Proc. The latest mathematical methods in engineering(2001), Dolní Lomná, VB-TU Ostrava, pp. 31-36.
ISBN 80-248-0013-6
[35] Kučera, R.: Wavelets and applications.
Habilitation thesis, ca. 100 pages, VB-TU Ostrava, 2001.
[34] Kučera, R.:
Solution of the contact problem with a given friction based on dual formulation.
Technical report(2000), VB-TU Ostrava.
[33] Haslinger, J., Dostál, Z., Kučera, R.:
The numerical realization of the Signorini problem with a given friction based on the reciprocal variational formulation.
In: Proc. Nonsmooth/Nonconvex Mechanics,
eds.: D. Y. Gao, R. W. Ogden, G. E. Stavrulakis,
Edited Volume in the Series: Nonconvex Optimization and Its Applications, Kluwer Academic Publishers, Boston, 2000,
pp. 141-172.
ISBN 0-7923-5951-8
[32] Kučera, R.:
Wavelet solution of elliptic PDE.
In: Proc. Matematyka v Naukach Technicznych i Przyrodniczych(2000), Krynica, AGH Krakow, pp. 55-62.
ISBN 83-86888-02-6
[31] Kučera, R.:
Wavelet solution of the elliptic partial differential equations: implementation.
In: Proc. The latest mathematical methods in engineering(2000), Dolní Lomná, VB-TU Ostrava,
pp. 117-122. ISBN 80-7078-836-4
[30] Kučera, R.: Approximation of the continuous multipliers in the contact problems.
In: Proceedings PANM10, Libverda, May 2000, pp. 107-113.
[29] Kučera, R.:
Current trends in application of wavelet transform.
In: Proc. Position of seismology and engineering geophysics in geological explorations(1999),
Inst. of Geonics AV ČR Ostrava, pp. 223-228. ISBN 80-901850-8-8
[28] Častová, N., Kučera, R.:
New mathematical wavelet technologies in udergraduate and graduate engineering education.
In: Proc. ICEE'99, VB-TU Ostrava. ISSN 1562-3580
[27] Kučera, R., Vlček, J.:
Galerkin method with wavelet bases.
In: Proc. The latest mathematical methods in engineering(1999), Dolní Lomná, VB-TU Ostrava, pp. 70-80.
ISBN 80-7078-725-2
[26] Kučera, R.:
Solution of boundary value problems for differential equations by wavelet bases.
Technical report(1999), VB-TU Ostrava.
[25] Haslinger, J., Dostál, Z., Kučera, R.:
Signorini problem with a given friction based on the reciprocal variational formulation.
In: Abstractbook of the Congress of U.S. Association for Mechanics(1999)}, Blacksbourgh, Virginia.
[24] Kučera, R., Vlček, J.:
Galerkin method with wavelet bases.
In: Proc. Software and Algorithms of Numerical Mathematics(1999), Nečtiny, UK Prague, pp. 191-208.
ISBN 80-7082-566-9
[23] Častová, N., Kaláb, Z., Kučera, R.:
Applicability of the wavelet theory for seismological signals.
In: Proc. XXVI General Assembly of the European Seismological Commission(1998),
Israel, pp. 53-57.
[22] Častová, N., Kaláb, Z., Kučera, R.:
Wavelet transform and decomposition of the typical seismic signals.
In: Proc. The current trends in seismology and engineering geofphysics(1998),
Inst. of Geonics AV ČR Ostrava, s. 126-131.
ISBN 80-901850-7-X
[21] Častová, N., Kaláb, Z., Kučera R.:
Wavelet transform: Presentation of time-frequency decomposition for the mining induced seismic event.
Publs. Inst. Geophys. Pol. Acad. Sc., M-22 (310), 1999, pp. 147-151.
ISBN 83-85173-81-1, ISSN 0-138-015X
[20] Kučera, R., Vlček, J., Vlček, K.:
VHDL simulation of wavelet coprocessor behavioural model.
In: Proc. Analysis of biomedical signals and images, BIOSIGNAL'98, TU Brno, pp. 227-230.
ISBN 80-214-1169-4
[19] Kučera, R., Praks, P.:
Wavelet transform and solution of linear equations.
In: Proc. The latest mathematical methods in engineering(1998), Dolní Lomná, VB-TU Ostrava, pp. 135-140.
ISBN 80-7078-622-1
[18] Kučera, R.:
Spline smoothing algorithms - implementation.
Preprint series 32/1998, Kat. MAAM, PŘF UP Olomouc.
[17] Kučera, R.:
Analysis of the smoothing algorithm.
In: Proc. The latest mathematical methods in engineering(1997), Nová Ves u Frýdlantu n. O.,
VB-TU Ostrava, pp. 127-133.
ISBN 80-7078-518-7
[16] Kučera, R.:
Analysis of the spline smoothing algorithms.
In: Proc. Summer School DATASTAT'97,
Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis, Mathematica 7(1998), Brno, pp. 73-86.
ISBN 80-210-1950-6
[15] Kobza, J., Kučera, R.:
Spline Toolbox in Matlab.
In: Proc. Summer Schools MATLAB'94,'95,
Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis, Mathematica 5(1997), Brno, pp. 25-46.
ISBN 80-210-1517-9
[14] Kučera, R., Vlček, J., Vlček, K.:
DSP implementation of image compression by multiresolutional analysis.
Radioengineering, Vol. 7(1998), No. 1, pp. 7-9.
ISSN 1210-2512
[13] Kučera, R.:
Smoothing algorithms based on splines and wavelets.
In: Proceedings PANM8, Janov n. N, May 1996, pp. 116-121
[12] Kučera R.:
Discrete wavelet transform.
In: Proc. The latest mathematical methods in engineering(1996), Nová Ves u Frýdlantu n. O.,
VB-TU Ostrava, pp. 86-92.
ISBN 80-7078-419-9
[11] Kučera, R., Vlček, J., Vlček, K.:
Image compression using multiresolution analysis.
In: Proc. Analysis of biomedical signals and images, BIOSIGNAL'96, TU Brno, pp. 38-40.
ISBN 80-214-0768-9
[10] Častová, N., Kaláb, Z., Kučera, R.:
Digital seismic signals and their wavelets.
In: Proc. XXV General Assembly of the European Seismological Commission(1996),
University of Iceland, pp. 89-93.
ISBN 9979-60-235-X
[9] Častová, N., Kaláb, Z., Kučera, R.:
Discrete wavelet transform and seismological signals.
In: Proc. Geomechanics'96, ed.: Rakowski, Z., Balkema, Rotterdam, pp. 207-210.
ISBN 90-5410921-1
[8] Častová, N., Kaláb, Z., Kučera, R.:
Wavelets of seismological signals.
In: Proc. Data analysis in seismology and engineering geofphysics(1996),
Inst. of Geonics AV ČR Ostrava, pp. 9-14.
ISBN 80-901850-3-7
[7] Andres, J., Kučera, R.:
Note on the observation of comets in 1664 and 1665 by the Olomouc scholar P. Valentin Stansel, S.J..
Acta UPO, Fac. rer. nat., Vol.120, Physics 34(1995), pp. 207-218.
ISBN 80-7067-515-2
[6] Kučera, R.:
Interpolating and smoothing biquadratic spline.
Applications of Mathematics, Vol. 40(1995), pp. 339-356.
ISSN 0862-7940
[5] Kučera, R.:
Using of quadratic splines on refined mesh in constrained histogram smoothing.
Preprint TU Dresden, MATH-NM-03-1994.
[4] Kučera, R.:
Histogram smoothing by complete biquadratic spline.
Dissertation, KMAaNM PřF UP Olomouc, 1994.
[3] Kobza, J., Kučera, R.:
Fundamental quadratic splines and applications.
Acta UPO, Fac. rer. nat., Vol. 110, Mathematics 32(1993), pp. 81-98.
ISSN 0231-9721
[2] Kučera, R.:
Fundamental splines of the second order and their using to interpolation in two variables.
In: Proceedings PANM6, Bratříkov, May 1992, pp. 116-121.
[1] Kučera, R.:
Natural and smoothing spline functions of two variables.
Diploma thesis, KMAaNM PřF UP Olomouc, 1991.
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Last modified: Thr September 17 10:27 CET 2008