Institute of Information Theory and Automation
?sky english

Bibliography

Tomáš Roubíček


Books and chapters

  1. Roubíček Tomáš: Nonlinear Partial Differential Equations with Applications, Birkhäuser, (Basel 2005) Inter. Series of Numerical Mathematics. vol.153
  2. Roubíček Tomáš: Relaxation in Optimization Theory and Variational Calculus, Walter de Gruyter, (Berlin 1997) Series in Nonlinear Analysis and Applications. vol.4
  3. Roubíček Tomáš: Relaxation of optimal control problems coercive in Lp-spaces , Modelling and Optimization of Distributed Parameter Systems, p. 270-277 , Eds: Malanowski K., Namorski Z., Peszynska M., Chapman & Hall, (London 1996)
  4. Roubíček Tomáš: Microstructure evolution models , Metz Days '92, p. 67-73 , Eds: Chipot M., Longmann, (Harlow 1993) Pitman Research Notes in Mathematics. vol.296
  5. Roubíček Tomáš: Modern numerical methods and software in optimization , Modern Mathematical Methods of Optimization, p. 361-371 , Eds: Elster K. H., Akademie Verlag, (Berlin 1993)
  6. Roubíček Tomáš: A Note about Optimality Conditions for Variational Problems with Rapidly Oscillating Solutions , Progress in Partial Differential Equations: Calculus of Variations, Applications, p. 312-314 , Eds: Bandle C., John Wiley, (New York 1992) Pitman Research Notes in Mathematics Series. vol.267

Journal articles

  1. Bouchitte G., Mielke A., Roubíček Tomáš: A complete-damage problem at small strains , Zeitschrift für angewandte Mathematik und Physik vol.60, 2 (2009), p. 205-236 Download
  2. Kružík Martin, Roubíček Tomáš: Matematické a počítačové modelování aktivních materiálů , Vesmír vol.88, 1 (2009), p. 21-23 Download
  3. Mielke A., Roubíček Tomáš, Stefannelli U.: Gamma-limits and relaxations for rate-independent evolutionary problems , Calculus of Variations and partial differential equations vol.3, 31 (2008), p. 387-416
  4. Koutný Jan, Kružík Martin, Kurdila A., Roubíček Tomáš: Identification of Preisach-type hysteresis operators , Numerical Functional Analysis and Optimization vol.29, 1 (2008), p. 149-160
  5. Roubíček Tomáš, Kružík Martin, Koutný Jan: A mesoscopical model of shape-memory alloys , Proceedings of the Estonian Academy of Sciences vol.56, 2 (2007), p. 146-154
  6. Roubíček Tomáš: Incompressible ionized non-Newtonean fluid mixtures , SIAM Journal on Mathematical Analysis vol.39, 3 (2007), p. 863-890
  7. Roubíček Tomáš: Modelling of thermodynamics of martensitic transformation in shape-memory alloys , Discrete and Continuous Dynamical Systems vol.2007, p. 892-902
  8. Ramos A. M., Roubíček Tomáš: Nash equilibria in noncooperative predator-prey games , Applied Mathematics and Optimization vol.56, 2 (2007), p. 211-241
  9. Roubíček Tomáš: On Nash equilibria for noncooperative games governed by Burgers equation , Journal of Optimization Theory and Applications vol.132, 1 (2007), p. 41-50
  10. Roubíček Tomáš: On non-Newtonian fluids with energy transfer , Journal of Mathematical Fluid Mechanics vol.9, 1 (2007), p. 1-16
  11. Pošta M., Roubíček Tomáš: Optimal control of Navier-Stokes equations by Oseen approximation , Computers & Mathematics With Applications vol.53, p. 569-581
  12. Kočvara Michal, Mielke A., Roubíček Tomáš: A rate-independent approach to the delamination problem , Mathematics and Mechanics of Solids vol.11, 4 (2006), p. 423-447
  13. Roubíček Tomáš: Incompressible ionized fluid mixtures , Continuum Mechanics and Thermodynamics vol.17, 7 (2006), p. 493-509
  14. Arndt M., Griebel M., Novák Václav, Roubíček Tomáš, Šittner P.: Martensitic transformation in NiMnGa single crystals: numerical simulations and experiments , International Journal of Plasticity vol.22, 10 (2006), p. 1943-1961
  15. Roubíček Tomáš, Kružík Martin: Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation , GAMM Mitteilungen vol.29, 1 (2006), p. 192-214
  16. Roubíček Tomáš: Incompressible ionized fluid mixtures: a non-Newtonian approach , IASME Transactions vol.2, 7 (2005), p. 1190-1197
  17. Roubíček Tomáš: Maximum principle in optimal design of plates with stratified thickness , Applied Mathematics and Optimization vol.51, 99 (2005), p. 183-200
  18. Roubíček Tomáš, Kružík Martin: Mesoscopic model for ferromagnets with isotropic hardening , Zeitschrift für angewandte Mathematik und Physik vol.56, 1 (2005), p. 107-135
  19. Kružík Martin, Mielke A., Roubíček Tomáš: Modelling of microstructure and its evolution in shape-memory-alloy single crystals, in particular in CuALNi , Meccanica vol.40, p. 389-418
  20. Mielke A., Roubíček Tomáš: Rate-independent damage processes in nonlinear inelasticity , Mathematical Models and Methods in Applied Sciences vol.16, 2 (2005), p. 177-209
  21. Kružík Martin, Roubíček Tomáš: Interactions between demagnetizing field and minor-loop development in bulk ferromagnets , Journal of Magnetism and Magnetic Materials vol.277, p. 192-200
  22. Bartels S., Roubíček Tomáš: Linear-programming approach to nonconvex variational problems , Numerische Mathematik vol.99, 2 (2004), p. 251-287
  23. Roubíček Tomáš, Kružík Martin: Microstructure evolution model in micromagnetics , Zeitschrift für angewandte Mathematik und Physik vol.55, 1 (2004), p. 159-182
  24. Mielke A.Roubíček Tomáš, Roubíček Tomáš: A rate-independent model for inelastic behavior of shape-memory alloys , Multiscale Modeling and Simulation vol.1, 4 (2003), p. 571-597
  25. Mielke A.Roubíček Tomáš, Roubíček Tomáš: A rate-independent model for inelastic behavior of shape-memory alloys , Multiscale Modeling and Simulation vol.1, 4 (2003), p. 571-597
  26. Matache A. M., Roubíček Tomáš, Schwab Ch.: Higher-order convex approximations of Young measures in optimal control , Advances in Computational Mathematics vol.19, 1 (2003), p. 73-97
  27. Roubíček Tomáš, Tröltzsch F.: Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations , Control and Cybernetics vol.32, 3 (2003), p. 683-705
  28. Arndt M., Griebel M., Roubíček Tomáš: Modelling and numerical simulation of martensitic transformation in shape memory alloys , Continuum Mechanics and Thermodynamics vol.15, 5 (2003), p. 463-485
  29. Rajagopal K. R., Roubíček Tomáš: On the effect of dissipation in shape-memory alloys , Nonlinear Analysis, Theory, Methods and Applications vol.4, 99 (2003), p. 581-597
  30. Kružík Martin, Roubíček Tomáš: Specimen shape influence on hysteretic response of bulk ferromagnets , Journal of Magnetism and Magnetic Materials vol.256, 1 (2003), p. 158-167
  31. Roubíček Tomáš: Evolution model for martensitic phase transformation in shape-memory alloys , Interfaces and Free Boundaries vol.4, 2 (2002), p. 111-136
  32. Roubíček Tomáš, Valášek M.: Optimal control of causal differential-algebraic systems , Journal of Mathematical Analysis and Applications vol.269, 2 (2002), p. 616-641
  33. Bouchitee G., Roubíček Tomáš: Optimal design of stratified media , Advances in Mathematical Sciences and Applications vol.12, 1 (2002), p. 135-150
  34. Plecháč P., Roubíček Tomáš: Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys , Mathematical Methods in the Applied Sciences vol.25, 99 (2002), p. 1281-1298
  35. Nečas J., Roubíček Tomáš: Buoyancy-driven viscous flow with L , Nonlinear Analysis, Theory, Methods and Applications vol.46, 99 (2001), p. 737-755
  36. Roubíček Tomáš, Schmidt W. H.: Existence in optimal control problems of certain Fredholm integral equations , Control and Cybernetics vol.30, 3 (2001), p. 303-322
  37. Roubíček Tomáš: Steady-state bouyancy-driven viscous flow with measure data , Mathematica Bohemica vol.126, 2 (2001), p. 493-504
  38. Roubíček Tomáš: Direct method for parabolic problems , Advances in Mathematical Sciences and Applications vol.10, 99 (2000), p. 57-65
  39. Roubíček Tomáš, Šverák V.: Nonexistence of solutions in nonconvex multidimensional variational problems , Journal of Convex Analysis vol.7, 99 (2000), p. 427-436
  40. Carstensen C., Roubíček Tomáš: Numerical approximation of Young measures in nonconvex variational problems , Numerische Mathematik vol.84, 99 (2000), p. 395-415
  41. Haslinger J., Kočvara Michal, Roubíček Tomáš: Optimal control of distributed parameter systems , ERCIM News, p. 24-25
  42. Kružík Martin, Roubíček Tomáš: Weierstrass-type maximum principle for microstructure in micromagnetics , Zeitschrift für Analysis und Ihre Anwendungen vol.19, 2 (2000), p. 415-428
  43. Málek J., Roubíček Tomáš, Stará J.: K sedmdesátinám profesora Jindřicha Nečase , Bulletin České společnosti pro mechaniku vol.3, 99 (1999), p. 26-29
  44. Roubíček Tomáš: On noncooperative nonlinear differential games , Kybernetika vol.35, 4 (1999), p. 487-498
  45. Kružík Martin, Roubíček Tomáš: Optimization problems with concentration and oscillation effects: Relaxation theory and numerical approximation , Numerical Functional Analysis and Optimization vol.20, p. 511-530
  46. Kružík Martin, Roubíček Tomáš: Some geometric properties of the set of generalized Young functionals , Proceedings of the Royal Society of Edinburgh. A - Mathematics vol.129, p. 601-616
  47. Roubíček Tomáš: Nonlinear heat equation with L , Nodea-Nonlinear Differential Equations and Applications vol.5, 4 (1998), p. 517-527
  48. Roubíček Tomáš: Optimal control of nonlinear Fredholm integral equations , Journal of Optimization Theory and Applications vol.97, 3 (1998), p. 707-729
  49. Roubíček Tomáš: Optimality conditions for nonconvex variational problems relaxed in terms of Young measures , Kybernetika vol.34, 3 (1998), p. 335-347
  50. Roubíček Tomáš, Schmidt W. H.: Existence of solutions of certain nonconvex optimal control problems governed by nonlinear integral equations , Optimization: a journal of mathematical programming and operations research Additional Title Information vol.42, 1 (1997), p. 91-109
  51. Roubíček Tomáš: Nonconcentrating generalized Young functionals , Commentationes Mathematicae Universitatis Carolinae vol.38, 1 (1997), p. 91-99
  52. Kružík Martin, Roubíček Tomáš: On the measures of DiPerna and Majda , Mathematica Bohemica vol.122, 4 (1997), p. 383-399
  53. Kružík Martin, Roubíček Tomáš: Explicit characterization of Lp-Young measures , Journal of Mathematical Analysis and Applications vol.198, p. 830-843
  54. Roubíček Tomáš: Numerical approximation of relaxed variational problems , Journal of Convex Analysis vol.3, 2 (1996), p. 1-19
  55. Roubíček Tomáš, Hoffmann K. H.: About the concept of measure-valued solutions to distributed parameter systems , Mathematical Methods in the Applied Sciences vol.18, p. 671-685
  56. Roubíček Tomáš: Approximation theory for generalized Young measures , Numerical Functional Analysis and Optimization vol.16, p. 1233-1253
  57. Roubíček Tomáš: Effective characterization of generalized Young measures generated by gradients , Bollettino della Unione Mathematica Italiana vol.7, 9 (1995), p. 755-779
  58. Roubíček Tomáš: Relaxation of vectorial variational problems , Mathematica Bohemica vol.120, 4 (1995), p. 411-430
  59. Roubíček Tomáš, Hoffmann K. H.: Theory of convex local compactifications with applications to Lebesgue spaces , Nonlinear Analysis, Theory, Methods and Applications vol.25, 6 (1995), p. 607-628
  60. Roubíček Tomáš: Finite element approximation of a microstructure evolution , Mathematical Methods in the Applied Sciences vol.17, p. 377-393
  61. Hoffmann K. H., Roubíček Tomáš: Optimal control of a fine structure , Applied Mathematics and Optimization vol.30, p. 113-126
  62. Hoffmann K. H., Roubíček Tomáš: Thermomechanical evolution of a microstructure , Quarterly of Applied Mathematics vol.52, 4 (1994), p. 721-737
  63. Roubíček Tomáš: Evolution of a microstructure: a convexified model , Mathematical Methods in the Applied Sciences vol.16, p. 625-642
  64. Roubíček Tomáš: A General View to Relaxation Methods in Control Theory , Optimization vol.23, 2 (1992), p. 261-268
  65. Roubíček Tomáš, Verdi C.: A Stable Approximation of a Constrained Optimal Control for Continuous Casting , Numerical Functional Analysis and Optimization vol.13, 3 (1992), p. 487-494
  66. Roubíček Tomáš: Minimization on Convex Compactifications and Relaxation of Nonconvex Variational Problems , Advances in Mathematical Sciences and Applications vol.1, 1 (1992), p. 1-18
  67. Roubíček Tomáš: A Convergent Computational Method for Constrained Optimal Relaxed Control Problems , Journal of Optimization Theory and Applications vol.69, 3 (1991), p. 589-603
  68. Roubíček Tomáš: A Generalization of the Lions-Temam Compact Imbedding Theorem , Časopis pro pěstování matematiky vol.115, 4 (1990), p. 338-342
  69. Nečas J., Roubíček Tomáš: An Approximation of a Nonlinear Thermoelastic Problem with a Moving Boundary Via a Fixed-Domain Method , Aplikace matematiky vol.35, 5 (1990), p. 361-372
  70. Roubíček Tomáš: Constrained optimization: a general tolerance approach , Aplikace matematiky vol.35, 2 (1990), p. 99-128
  71. Roubíček Tomáš: Convex Compactifications and Special Extensions of Optimization Problems , Nonlinear Analysis vol.16, 5 (1990), p. 1117-1126
  72. Roubíček Tomáš: Numerical Solution of the Nonlinear Heat Equation in Heterogenous Media , Numerical Functional Analysis and Optimization vol.11, 6 (1990), p. 793-810

Other publications

  1. Roubíček Tomáš: Models of martensitic transformation in shape-memory alloys , Proceedings of the 5th International Conference on Nonlinear Mechanics (ICNM V), 5th Intl. Conf. Nonlinear Mechanics (ICNM V), (Shanghai, CN, 15.06.2007-21.06.2007)
  2. Roubíček Tomáš: Incompressible fluid mixtures of ionized constituents , International Symposium on Trends in Applications of Mathematics to Mechanics, p. 429-440 , Eds: Wang Y., Hutter K., Schaker, (Aachen 2005) , STAMM'2004, (Seeheim, DE, 22.08.2004-28.08.2004)
  3. Roubíček Tomáš: Numerical techniques in relaxed optimization problems , Robust Optimization-Directed Design, p. 145-161 , Eds: Kurdila A. J., Pardalos P. M., Zabrankin M., Nonconvex Optimization-Directed Design, (Fort Walton Beach, US, 19.04.2004-21.04.2004)
  4. Kružík Martin, Roubíček Tomáš: Mesoscopic Model of Microstructure Evolution in Shape Memory Alloys with Applications to NiMnGa, IMA University of Minnesota, (Minneapolis 2004) Research Report 2003
  5. Roubíček Tomáš: Models of microstructure evolution in shape memory alloys , Nonlinear Homogenization and its Applications o Composites, Polycrystals and Smart Materials. Proceedings of the NATO Advanced Research Workshop, p. 269-304, NATO Workshop on Nonlinear Homogenization and its Applications to Composites, Polycrystals, and Smart Materials, (Kazimierz Dolny, PL, 23.06.2003-26.06.2003)
  6. Kočvara Michal, Mielke A., Roubíček Tomáš: A Rate-Independent Approach to the Delamination Problem, Universität Stuttgart, (Stuttgart 2003) Research Report 2003/29
  7. Roubíček Tomáš: Microstructure in ferromagnetics and its steady-state and evolution models , Communications of the Bexbach Colloquium on Science 2000, p. 39-52 , Eds: Robnik M., Ruffing A., Shaker, (Aachen 2003) , Bexbach Colloquium on Science 2000, (Bexbach, DE, 27.10.2000-29.10.2000)
  8. Roubíček Tomáš: Optimal design of laminated composites , Analysis and Simulation of Multifield Problems, p. 129-134 , Eds: Wendland W., Efendiev M., Springer, (Berlin 2003) , International Conference on Multifield Problems, (Stuttgart, DE, 08.04.2002-10.04.2002)
  9. Roubíček Tomáš: Optimization of steady-state flow of incompressible fluids , Analysis and Optimization of Differential Systems, p. 357-368 , Eds: Barbu V., Lasiecka I., Tiba D., Kluwer, (Boston 2003) , IFIP WG7.2 Conference Analysis and Optimization of Differential Systems, (Constanta, RO, 10.09.2002-14.09.2002)
  10. Roubíček Tomáš, Kružík Martin: Adaptive approximation algorithm for relaxed optimization problems , Proceedings of the Conference Fast Solution of Discretized Optimization Problems, p. 242-254 , Eds: Hoffmann K. H., Hoppe R. H. W., Schultz V., Birkhäuser, (Basel 2001) , Fast Solution of Discretized Optimization Problems, (Berlin, DE, 12.06.2000-14.06.2000)
  11. Roubíček Tomáš: Dissipative evolution of microstructure in shape memory alloys , Lectures on Applied Mathematics, p. 45-63 , Eds: Bungartz H., Hoppe R., Zenger C., Springer, (Berlin 2000) , Workshop on Applied Mathematics, (Munich, DE, 09.06.1999)
  12. Roubíček Tomáš: Optimization of fine structure in micromagnetism , Free Boundary Problems. Proceedings, p. 398-408 , Eds: Nobuyuki K., Gakuto, (Chiba 2000) Gakuto International Series in Mathematical Sciences and Applications. vol.14 , Free Boundary Problems, (Chiba, JP, 01.11.1999)
  13. Roubíček Tomáš: Convex locally compact extensions of Lebesgue spaces and their applications , Calculus of Variations and Optimal Control, p. 237-250 , Eds: Ioffe A., Reich S., Shafrir I., Chapman & Hall/CRC, (Boca Raton 1999) , Calculus of Variations and Related Topics, (Haifa, IL, 25.03.1998-31.03.1998)
  14. Roubíček Tomáš: Noncooperative games with elliptic systems , Optimal Control of Partial Differential Equations, p. 246-255 , Eds: Hoffmann K.-H., Leugering G., Tröltzsch F., Birkhäuser, (Basel 1999) International Series of Numerical Mathematics. vol.133 , Optimal Control of Partial Differential Equations, (Chemnitz, DE, 20.04.1998-25.04.1998)
  15. Málek J., Roubíček Tomáš: Optimization of steady flows for incompressible viscous fluids , Applied Nonlinear Analysis. Proceedings, p. 355-372 , Eds: Adeila Sequiera, Kluwer, (Dordrecht 1999) , International Workshop on Nonlinear PDE and Applications, (Olomouc, CZ, 13.12.1999-17.12.1999)
  16. Roubíček Tomáš: Existence results for some nonconvex optimization problems governed by nonlinear processes , Variational Calculus, Optimal Control and Applications, p. 87-96 , Eds: Bulirsch R., Bittner L., Schmidt W., Meier K., Birkhäuser, (Basel 1998) International Series of Numerical Mathematics. vol.124 , Conference on Variational Calculus, Optimal Control and Applications, (Trassenheide, DE, 23.09.1996-27.09.1996)
  17. Roubíček Tomáš, Kružík Martin: Numerical treatment of microstructure evolution modeling , Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications, p. 532-539 , Eds: Bock H. G., World Scientific, (Singapore 1998) , ENUMATH '97 /2./, (Heidelberg, DE, 28.09.1997-03.10.1997)
  18. Roubíček Tomáš: Modelling of microstructure in non-quasiconvex variational problems , Free Boundary Problems, Theory and Applications, p. 264-270 , Eds: Niezgódka M., Strzelecki P., Longmann, (Harlow 1996) Pitman Research Notes in Mathematics. vol.363 , Free Boundary Problems '95, (Zakopané, PL, 12.06.1995-15.06.1995)
  19. Roubíček Tomáš: A note about relaxation of vectorial variational problems , Calculus of Variations, Applications and Computations, p. 208-214 , Eds: Bandle C., Bemelmans J., Longman, (Harlow 1995) Pitman Research Notes in Mathematics. vol.326 , European Conference on Elliptic and Parabolic Problems /2./, (Pont-a-Mousson, FR, 00.06.1994)
  20. Roubíček Tomáš: Optimal control of a microstructure , Free Boundary Problems: Theory and Applications, p. 195-202 , Eds: Diaz J. I., Herrero A. M., Linan A., Vazquez J. L., Longman, (Harlow 1995) Pitman Research Notes in Mathematics. vol.323 , Free Boundary Problems, (Toledo, ES, 21.06.1993-26.06.1993)
  21. Roubíček Tomáš: Various relaxations in optimal control of distributed parameter systems , Control and Estimation of Distributed Parameter Systems, p. 327-341, Birkhäuser, (Basel 1994) , International Conference on Control and Estimation of D.P.S, (Vorau, AT, 00.07.1993)
  22. Roubíček Tomáš: A Stefan Problem in Multi-Component Media Coupled with a Signorini Contact Problem , Free Boundary Problems Involving Solids, p. 57-61 , Eds: Chadam J. M., Rasmussen H., Longmann, (Harlow 1992) Pitman Research Notes in Mathematics. vol.281 , Free Boundary Problems: Theory and Application /5./, (Montreal, CA, 13.06.1990-22.06.1990)
  23. Roubíček Tomáš: Convex Compactifications in Optimal Control Theory , IFIP Conference on System Modelling and Optimization of Systems, p. 226-227, IFIP, (Zurich 1992) , IFIP Conference on System Modelling and Optimization of Systems /15./, (Zurich, CH, 02.09.1991-06.09.1991)
  24. Roubíček Tomáš: Convex Compactifications in Optimal Control Theory , System Modelling and Optimization. Proceedings of the 15th IFIP Conference, p. 433-439 , Eds: Kall P., Springer, (Berlin 1992) Lecture Notes in Control and Information Sciences. vol.180 , IFIP Conference on System Modelling and Optimization /15./, (Zurich, CH, 02.09.1991-06.09.1991)
  25. Roubíček Tomáš: Evolution of a Microstructure: A Convexified Model, Technische Universität, (München 1992) Research Report 321
  26. Roubíček Tomáš: Finite Element Approximation of a Microstructure Evolution, Technische Universität, (München 1992) Research Report 376
  27. Roubíček Tomáš: Optimality Conditions for Nonconvex Variational Problems Relaxed in Terms of Young Measures, Technische Universität, (München 1992) Research Report 375
  28. Roubíček Tomáš: A Note on an Interaction Between Penalization and Discretization , Modelling and Inverse Problems of Control for Distributed Parameter Systems. Proceedings of IFIP-IIASA Conference, p. 145-150 , Eds: Kurzhanski A., Lasiecka I., Springer, (Berlin 1991) Lecture Notes in Control and Information Sciences. vol.154 , IFIP-IIASA Conference on Modelling and Inverse Problems of Control for Distributed Parameter Systems, (Laxenburg, AT, 24.07.1989-28.07.1989)
  29. Roubíček Tomáš: Optimization of a Stefan Problem by Nonsmooth Methods , Proceedings of International Conference on Control and Estimation of Distributed Parameter Systems, p. 295-301, Birkhäuser, (Basel 1991) , International Conference on Control and Estimation of Distributed Parameter Systems, (Vorau, AT, 08.07.1990-14.07.1990)
  30. Roubíček Tomáš: A finite-element approximation of Stefan problems in heterogenous media , Free boundary problems, p. 267-275, Birkhäuser, (Basel 1990) , Free boundary value problems with special respect their numerical and optimal control, (Oberwolfach, DB, 09.06.1989-15.06.1989)
Responsible for information: admin
Last modification: 03.09.2008
Institute of Information Theory and Automation