LIST OF PUBLICATIONS

of Tomáš Roubíček

I. Books:

  1. T.Roubíček: Nonlinear Partial Differential Equations with Applications. (Intl.Ser.Numer.Math 153, pp.i-xviii,1-405.) Birkhäuser, Basel, Boston, Berlin, 2005. (ISBN: 3-7643-7293-1) ZBL: 02200202. Errata here.
  2. T.Roubíček: Relaxation in Optimization Theory and Variational Calculus. (Series in Nonlin. Anal. Appl. 4, pp.i-xiv,1-474.) Walter de Gruyter, Berlin, New York, 1997. (ISBN 3-11-014542-1, ISSN 0941-813X) ZBL: 880.49002

II. Research articles:

  1. L.Freddi, T.Roubíček, C.Zanini: Quasistatic delamination of sandwich-like Kirchhoff-Love plates. (Preprint at Calc. Var. & Geometric Measure Theory, Pisa) J. Elasticity
  2. T.Roubíček, G.Tomassetti: Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis. Archive Ration. Mech. Anal., submitted.
  3. T.Roubíček, O.Souček, R.Vodička: A model of rupturing lithospheric faults with re-occurring earthquakes. SIAM J. Appl. Math., submitted.
  4. C.G. Panagiotopoulos, V. Mantič, T.Roubíček: BEM implementation of energetic solutions for quasistatic delamination problems. Computational Mechanics, submitted.
  5. S.Bartels, T.Roubíček: Numerical approaches to thermally coupled perfect plasticity. Numer. Meth. for Partial Diff. Equations, submitted.
  6. B.Benešová, T.Roubíček: Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling. (Preprint No.2012-002, Nečas center, Prague) Multiscale Modeling and Simulation, accepted.
  7. R.Rossi, T.Roubíček: Adhesive contact delaminating at mixed mode, its thermodynamics and analysis. (Preprints: No.26/2011 at Univ. Brescia, and on arXiv:1110.2794). Interfaces and Free Boundaries, submitted.
  8. T.Roubíček, V. Mantič, C.G. Panagiotopoulos: A quasistatic mixed-mode delamination model. (Preprint No.2011-020, Nečas center, Prague) Discrete and Cont. Dynam. Syst. - S, accepted.
  9. T.Roubíček: Thermodynamics of perfect plasticity. (Preprint No.2011-015, Nečas center, Prague) Discrete and Cont. Dynam. Syst. - S, accepted.
  10. B.Benešová, M.Kružík, T.Roubíček: Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition. (Preprint arXiv no.1203.3666) Zeit. angew. Math. Phys., submitted.
  11. T.Roubíček: Nonlinearly coupled thermo-visco-elasticity. Nonlin. Diff. Eq. Appl., submitted.
  12. S.Bartels, A.Mielke, T.Roubíček: Quasistatic small-strain plasticity in the limit of vanishing hardening and its numerical approximation. (Preprint No.1585, WIAS, Berlin, 2010), SIAM J. Numer. Anal. 50 (2012), 951-976.
  13. A.Mielke, T.Roubíček, M.Thomas: From damage to delamination in nonlinearly elastic materials at small strains. (Preprint No.1542, WIAS, Berlin, 2010), J. Elasticity, now on line DOI: 10.1007/s10659-012-9379-0.
  14. L.Freddi, R.Paroni, T.Roubíček, C.Zanini: Quasistatic delamination models for Kirchhoff-Love plates. (Preprint no.Scuola Normale Superiore, Pisa) Zeitschrift angew. Math. Mech. 91 (2011), 845-865.
  15. R.Rossi, T.Roubíček: Thermodynamics and analysis of rate-independent adhesive contact at small strains. (Preprints: No.07/2010, Univ. Brescia, SNS, Pisa, arXiv:1004.3764). Nonlinear Anal. 74 (2011), 3159-3190.
  16. S.Bartels, T.Roubíček: Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. (Preprint no.486, SFB 611, Univ. Bonn) Math. Modelling Numer. Anal. 45 (2011), 477-504.
  17. T.Roubíček, G.Tomassetti: Ferromagnets with eddy currents and pinning effects: their thermodynamics and analysis. (Preprint No.2010-026, Nečas center, Prague) Math. Models Meth. Appl. Sci. (M3AS) 21 (2011), 29-55.
  18. T.Roubíček: On certain convex compatifications for relaxation in evolution problems. (Preprint No.2009-032, Nečas center, Prague) Discrete Cont. Dynamical Systems, Ser.S., 4 (2011), 467-482.
  19. T.Roubíček, L.Scardia, C.Zanini: Quasistatic delamination problem. (Preprint No.14/2009 Max-Planck-Institut, Leipzig, 2009) Cont. Mech. Thermodynam., 21 (2009), 223-235.
  20. P.Podio Guidugli, T.Roubíček, G.Tomassetti: A thermodynamically-consistent theory of the ferro/paramagnetic transition. (Preprint No.683 Universita degli Studi di Roma II "Tor Vergata") Archive Rat. Mech. Anal. 198 (2010), 1057-1094.
  21. T.Roubíček, G.Tomassetti: Thermodynamics of shape-memory alloys under electric current. (Preprint No.622 Universita degli Studi di Roma II "Tor Vergata") Zeit. angew. Math. Phys. 61 (2010), 1-20; DOI: 10.1007/s00033-009-0007-1
  22. T.Roubíček, G.Tomassetti, C.Zanini: The Gilbert equation with dry-friction-type damping. (Preprint No.623 Universita degli Studi di Roma II "Tor Vergata") J. Math. Anal. Appl. 355 (2009), 453-468 (electronically printed Feb.2009).
  23. T.Roubíček: Approximation in multiscale modelling of microstructure evolution in shape-memory alloys. (Preprint no.2011-010, Nečas Center, Prague.) Cont. Mech. Thermodynam. 23 (2011), 491-507.
  24. T.Roubíček: Thermodynamics of rate independent processes in viscous solids at small strains. (Preprint no.2009-037, Nečas Center, Prague.) SIAM J. Math. Anal. 42 (2010), 256-297.
  25. R.Meziat, T.Roubíček, D.Patino: Coarse-convex-compactification approach to numerical solution of nonconvex variational problems. (Preprint no.2010-014, Nečas Center, Prague.) Numer. Funct. Anal. Optim. 31 (2010), 460-488.
  26. S.Bartels, T.Roubíček: Thermoviscoplasticity at small strains. (Preprint no.413, SFB 611, Univ. Bonn, 2008) Zeitschrift angew. Math. Mech. 88 (2008), 735-754.
  27. D.Wachsmuth, T.Roubíček: Optimal control of planar flow of incompressible non-Newtonian fluids. (Preprint No.11-2008, Inst.Math., Technische Universität Berlin), Zeitsch. f. Anal. u. ihre Advendungen 29 (2010), 351-376.
  28. T.Roubíček: Rate independent processes in viscous solids at small strains. (Preprint no.2008-008, Nečas Center, Prague.) Math. Methods Appl. Sci. 32 (2009),825-862 (electronically printed on Sept.3, 2008, errata with Publishers' appology).
  29. A.Mielke, T.Roubíček, J.Zeman: Complete damage in elastic and viscoelastic media and its energetics. (Preprint No.1285, WIAS, Berlin, 2007), Computer Methods Appl. Mech. Engr. 199 (2010), 1242--1253 (electronically doi:10.1016/j.cma.2009.09.020).
  30. T.Roubíček: Thermo-visco-elasticity at small strains with L1-data. (Preprint no.2007-038, Nečas Center, Prague.) Quarterly Appl. Math. 67 (2009), 47-71.
  31. G. Bouchitté, A.Mielke, T.Roubíček: A complete damage problem at small strains. (Preprint No.1228, WIAS, Berlin, 2007), Zeitschrift angew. Math. Phys. 60 (2009), 205-236 (published eletronically Nov. 2007.)
  32. A.Mielke, T.Roubíček: Numerical approaches to rate-independent processes and applications in inelasticity. (Preprint No.1169, WIAS, Berlin, 2006), Math. Modelling Numer. Anal. 43 (2009), 399-428.
  33. T.Roubíček: Modelling of thermodynamics of martensitic transformation in shape-memory alloys. (Preprint no.2007-009, Nečas Center, Prague.) Discrete and Cont. Dynam. Syst. Supl. (2007), 892-902.
  34. T.Roubíček: Incompressible ionized non-Newtonean fluid mixtures. (Preprint no.2007-010, Nečas Center, Prague.) SIAM J. Math. Anal. 39 (2007), 863-890. (electronically in No.3). ZBL:pre05288544
  35. T.Roubíček, M.Kružík, J.Koutný: A mesoscopical model of shape-memory alloys. (Preprint No.2007-014, Nečas center, Prague) Proc. Estonian Acad. Sci. Phys. Math. 56 (2007), 146-154.
  36. T.Roubíček: On non-Newtonian fluids with energy transfer. Journal of Mathematical Fluid Mechanics 11 (2009), 110-125 (published on line in vol.9, no.1 (June 2007), 1-16.).
  37. J.Koutný, M.Kružík, A.Kurdila, T.Roubíček: Identification of Preisach-type hysteresis operators. (Preprint No.2008-005, Nečas center, Prague) Numer. Funct. Anal. Optim. 29 (2008), 149-160. ZBL:1138.65041
  38. A.Mielke, T.Roubíček, U.Stefanelli: Gamma-limits and relaxations for rate-independent evolutionary problems. (Preprint No.1156, WIAS, Berlin, 2006) Calc. Var. PDE 31 (2008), 387-416. ZBL:pre05236593
  39. T.Roubíček, M.Kružík: Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation. GAMM Mitteilungen 29 (2006), 192-214.
  40. T.Roubíček: Incompressible ionized fluid mixtures: a non-Newtonian approach. IASME Transactions (WSEAS) 2 (2005), 1190-1197.
  41. M.Kružík, A.Mielke, T.Roubíček: Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. (Preprint No.1047, WIAS, Berlin, 2005) Meccanica 40 (2005), 389-418.
  42. M.Arndt, M.Griebel, V. Novák, T. Roubíček, P.Šittner: Martensitic transformation in NiMnGa single crystals: numerical simulations and experiments. (Preprint No. 223, SFB 611, Universität Bonn.) Int. J. Plasticity, 22 (2006), 1943-1961. ZBL:1099.74049.
  43. A.M.Ramos, T.Roubíček: Nash equilibria in noncooperative predator-prey games. (Preprint No.MA-UCM-2005-24, Dep. Matematica Aplicada, Universidad Complutense Madrid.) Appl. Math. Optim. 56 (2007), 211-241. ZBL:pre05236571
  44. M.Pošta, T.Roubíček: Optimal control of Navier-Stokes equations by Oseen approximation. (Preprint No.2007-013, Nečas centre, Prague) Computers and Mathematics with Applications, 53 (2007), 569-581. ZBL:1133.49024.
  45. A.Mielke, T.Roubíček: Rate-independent damage processes in nonlinear inelasticity. (Preprint No.1020, WIAS, Berlin, 2005) Math. Models Meth. Appl. Sci. (M3AS) 16 (2006), 177-209. ZBL:05021616.
  46. M.Kočvara, A.Mielke, T.Roubíček: A rate-independent approach to the delamination problem. (Preprint No.2003/29, SFB 404 "Mehrfeldprobleme in der Kontinuumsmechanik", Universität Stuttgart) Mathematics and Mechanics of Solids, 11 (2006), 423-447. ZBL:1133.74038
  47. T.Roubíček: Incompressible ionized fluid mixtures. Continuum Mech. Thermodyn. 17 (2006), 493-509. ZBL:1113.76097.
  48. T.Roubíček: On Nash equilibria for noncooperative games governed by Burgers equation. J. Optim. Theory Appl. 132 (2007), 41-50. ZBL:1127.91012
  49. A.Mielke, T.Roubíček: A rate-independent model for inelastic behavior of shape-memory alloys. (Preprint no. 79 DFG Schwerpunktprogramm 1095 - Analysis, Modeling and Simulation of Multiscale Problems, Uni.Stuttgart) Multiscale Modeling and Simulation 1 (2003), 571-597. ZBL:02060010
  50. S.Bartels, T.Roubíček: Linear-programming approach to nonconvex variational problems. (Preprint no. 74 DFG Schwerpunktprogramm 1095 - Analysis, Modeling and Simulation of Multiscale Problems, Uni.Stuttgart) Numerische Math. 99 (2004), 251-287. ZBL:02132459.
  51. M.Kružík, T.Roubíček: Interactions between demagnetizing field and minor-loop development in bulk ferromagnets. (Preprint no. 28/2002, caesar, Bonn) J. Magnetism and Magn. Mater. 277 (2004), 192-200.
  52. T.Roubíček, M.Kružík: Mesoscopic model for ferromagnets with isotropic hardening. (Preprint no. 27/2002, caesar, Bonn) Zeit. für angew. Math. und Physik 56 (2005), 107-135. ZBL:02140024
  53. T.Roubíček, F.Tröltzsch: Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations. (Tech.Report, Institute of Mathematics, TU Berlin, No.749-2002) Control & Cybernetics 32 (2003), 683-705
  54. M.Arndt, M.Griebel, T.Roubíček: Modelling and numerical simulation of martensitic transformation in shape memory alloys. (Preprint No.26 SFB 611, Uni. Bonn) Continuum Mech. Thermodyn. 15 (2003), 463-485. ZBL:02034125.
  55. M.Kružík, T.Roubíček: Specimen shape influence on hysteretic response of bulk ferromagnets. (Preprint No.18/2002, caesar, Bonn) J. Magnetism and Magn. Mater. 256 (2003), 158-167.
  56. A.-M.Mataché, T.Roubíček, C.Schwab: Higher-order convex approximations of Young measures in optimal control. (Preprint Forschungsinstitut für Math., ETH, Zürich, 2001) Adv. in Comput. Math. 19 (2003), 73-97. ZBL:1027.65086
  57. K.R.Rajagopal, T.Roubíček: On the effect of dissipation in shape-memory alloys. Nonlinear Anal., Real World Applications, 4 (2003), 581-597. ZBL:01915316
  58. T.Roubíček: Maximum principle in optimal design of plates with stratified thickness. Appl. Math. Optim. 51 (2005), 183-200 ZBL:1068.49021.
  59. P.Plecháč, T.Roubíček: Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys. Math. Methods in the Applied Sciences 25, (2002), 1281-1298. ZBL:1012.35051
  60. T.Roubíček, M.Kružík: Microstructure evolution model in micromagnetics. (Preprint No.3/2000, caesar, Bonn) Zeit. für angew. Math. und Physik, 55 (2004), 159-182. ZBL:1059.82047
  61. G.Bouchitté, T.Roubíček: Optimal design of stratified media. (Preprint No.2000/12, Lab.d'Anal.Nonlin.Appl.et Modelisation, Univ. Toulon) Adv. Math. Sci. Appl. 12 (2002), 135-150. ZBL:1030.49016
  62. T.Roubíček, M.Valášek: Optimal control of causal differential algebraic systems. J. Math. Anal. Appl. 269 (2002), 616-641. ZBL:01797501
  63. T.Roubíček: Steady-state buoyancy-driven viscous flow with measure data. Mathematica Bohemica 126 (2001), 493-504. ZBL:0981.35054
  64. T.Roubíček: Evolution model for martensitic phase transformation in shape-memory alloys. (Preprint MATH-MU-2000/2, MFF UK) Interfaces and Free Boundaries 4 (2002), 111-136. ZBL:0998.35058
  65. J.Nečas, T.Roubíček: Buoyancy-driven viscous flow with L1-data. Nonlinear Anal. 46 (2001), 737-755. ZBL:01675638
  66. T.Roubíček, V.Šverák: Nonexistence of solutions in nonconvex multidimensional variational problems. J. Convex Anal. 7 (2000), 427-436. ZBL:0996.49008
  67. T.Roubíček, W.H.Schmidt: Existence in optimal control problems of certain Fredholm integral equations. Control and Cybernetics 30 (2001), 303-322. ZBL:01791176
  68. M.Kružík, T.Roubíček: Weierstrass-type maximum principle for microstructure in micromagnetics. (Preprint No.40, Max-Planck-Institut, Leipzig, 1999.) Zeitschrift für Analysis und ihre Anwendungen 19 (2000), 415-428. ZBL:0971.49002
  69. M.Kružík, T.Roubíček: Optimization problems with concentration and oscillation effects: relaxation theory and numerical approximation. (Preprint No.57, Max-Planck-Institut, Leipzig, 1998.) Numer. Funct. Anal. Optim. 20 (1999), 511-530. ZBL:940.49002
  70. C.Carstensen, T.Roubíček: Numerical approximation of Young measures in nonconvex variational problems. (Bericht 97-18, Christian-Albrechts-Universität zu Kiel, 1997) Numerische Mathematik 84 (2000), 395-415. ZBL:0945.65070
  71. T.Roubíček: Direct method for parabolic problems. Adv. Math. Sci. Appl. 10 (2000), 57-65. ZBL:0961.34050
  72. T.Roubíček: Nonlinear heat equation with L1-data. Nonlinear Diff. Eq. Appl. 5 (1998), 517-527. ZBL:921.35078
  73. M.Kružík, T.Roubíček: Some geometrical properties of the set of generalized Young functionals. Proc. Royal Soc. Edingurgh, Sec.A 129A (1999), 601-616. ZBL:0957.49009
  74. T.Roubíček, W.H.Schmidt: Existence of solutions to certain nonconvex optimal control problems governed by nonlinear integral equations. Optimization 42 (1997), 91-109. ZBL:885.49002
  75. T.Roubíček: On noncooperative nonlinear differential games. Kybernetika 35 (1999), 487-498. MR:2000j:49059
  76. T.Roubíček: Optimal control of nonlinear Fredholm integral equations. J. Optim. Th. Appl. 97 (1998), 707-729. ZBL:908.49018
  77. M.Kružík, T.Roubíček: On the measures of DiPerna and Majda. Mathematica Bohemica 122 (1997), 383-399. ZBL:902.28009
  78. T.Roubíček: Nonconcentrating generalized Young functionals. Comment. Math. Univ. Carolinae 38 (1997), 91-99. ZBL:888.49027
  79. M.Kružík, T.Roubíček: Explicit characterization of Lp-Young measures. J. Math. Anal. Appl. 198 (1996), 830-843. ZBL:876.49039
  80. T.Roubíček: Numerical approximation of relaxed variational problems. J. Convex Analysis 3 (1996), 329-347. ZBL:881.65058
  81. T.Roubíček: Approximation theory for generalized Young measures. Numer. Funct. Anal. Opt. 16 (1995), 1233-1253. ZBL:854.65051
  82. T.Roubíček: Relaxation of vectorial variational problems. (Rapport de Recherche UMPA-93-no.88, ENS Lyon, 1993) Matematica Bohemica 120 (1995), 411-430. ZBL:859.49013
  83. T.Roubíček: Effective characterization of generalized Young measures generated by gradients. (Rapport de Recherche UMPA-92-no.85, ENS Lyon, 1992) Bollettino Unione Matematica Italiana 9-B (1995), 755-779. ZBL:859.49012
  84. T.Roubíček, K.-H.Hoffmann: Theory of convex local compactifications with applications to Lebesgue spaces. (DFG Report No. 416, Technische Universität München, 1992.) Nonlinear Analysis, Th., Methods, Appl. 25 (1995), 607-628. ZBL:pre00841789
  85. T.Roubíček, K.-H.Hoffmann: About the concept of measure-valued solutions to distributed parameter systems. (DFG Report No. 400, Technische Universität München, 1992.) Math. Methods in the Applied Sciences 18 (1995), 671-685. ZBL:828.35024
  86. K.-H.Hoffmann, T.Roubíček: Optimal control of a fine structure. (DFG Report No. 401, Technische Universität München, 1992.) Appl. Math. Optim. 30 (1994), 113-126. ZBL:812.49009
  87. K.-H.Hoffmann, T.Roubíček: Thermomechanical evolution of a microstructure. (DFG Report No. 378, Technische Universität München, 1992.) Quarterly Appl. Math. 52 (1994), 721-737. ZBL:815.49029
  88. T.Roubíček: Finite element approximation of a microstructure evolution. (DFG Report No. 376, Technische Universität München, 1992.) Math. Methods in the Applied Sciences 17 (1994), 377-393. ZBL:796.65108
  89. T.Roubíček: Optimality conditions for nonconvex variational problems relaxed in terms of Young measures. (DFG Report No. 375, Technische Universität München, 1992.) Kybernetika 34 (1998), 335-347. MR:99g:49023
  90. T.Roubíček: Evolution of a microstructure: a convexified model. (DFG Report No. 321, Universität Augsburg, 1991.) Math. Methods in the Applied Sciences 16 (1993), 625-642. ZBL:804.49036
  91. T.Roubíček, C.Verdi: A stable approximation of a constrained optimal control for continuous casting. (Report Universit`a degli Studi di Milano, No.3, 1992.) Numer. Funct. Anal. Optim. 13 (1992), 487-494. ZBL:758.49003
  92. T.Roubíček: Minimization on convex compactifications and relaxation of nonconvex variational problems. (DFG Report No. 260, Universität Augsburg, 1990.) Advances in Math. Sciences and Appl. 1 (1992), 1-18. ZBL:784.49019
  93. T.Roubíček: A general view to relaxation methods in control theory. Optimization 23 (1992), 261-268. ZBL:814.49023
  94. T.Roubíček: A convergent computational method for constrained optimal relaxed control problems. J. Optim. Th. Appl. 69 (1991), 589-603. ZBL:703.49028
  95. T.Roubíček: Convex compactifications and special extensions of optimization problems. Nonlinear Analysis, Th., Methods, Appl. 16(1991), 1117-1126. ZBL:728.49006
  96. T.Roubíček: Numerical solution of the nonlinear heat equation in heterogeneous media. Numer. Funct. Anal. Optim. 11 (1990), 793-810. ZBL:702.65094
  97. J.Nečas, T.Roubíček: An approximation of a nonlinear thermoelastic problem with a moving boundary via a fixed domain method. Aplikace Matematiky 35 (1990), 361-372. ZBL:717.73096
  98. T.Roubíček: A generalization of the Lions-Temam compact imbedding theorem. Časopis pěst. matematiky 115 (1990), 338-342. ZBL:755.46013
  99. T.Roubíček: Constrained optimization: a general tolerance approach. Aplikace Matematiky 35 (1990), 99-128. ZBL:714.49006
  100. T.Roubíček: The Stefan problem in heterogeneous media. Annales de l'Institute Henri Poincaré, Analyse Nonlinéaire 6 (1989), 481-501. ZBL:706.35139
  101. T.Roubíček: Evaluation of Clarke's generalized gradient in optimization of variational inequalities. Kybernetika 25 (1989), 157-168. ZBL:675.49009
  102. T.Roubíček: Stable extension of constrained optimization problems. J. Math. Anal. Appl. 141 (1989), 120-135. ZBL:683.49007
  103. T.Roubíček: A model and optimal control of multidimensional thermoelastic processes within a heating of large bodies. Probl. Control Inf. Theory 16 (1987), 283-301. ZBL:633.73006
  104. T.Roubíček: Optimal control of a Stefan problem with state-space constraints. Numerische Mathematik 50 (1987), 723-744. ZBL:589.65056
  105. J.Haslinger, T.Roubíček: Optimal control of variational inequalities. Approximation theory and numerical realization. Appl. Math. Optim. 14 (1986), 187-201. MR:87m:49026
  106. T.Roubíček: Generalized solutions of constrained optimization problems. SIAM J. Control Optim. 24 (1986), 951-960. ZBL:603.90137
  107. T.Roubíček: A generalized solution of a nonconvex minimization problem and its stability. Kybernetika 22 (1986), 289-298. ZBL:626.49013
  108. T.Roubíček: Time optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem. Kybernetika 20 (1984), 405-412. ZBL:549.49003
  109. T.Roubíček: Hybrid solution of weakly formulated boundary value problems. Math. Comp. in Simulation 26 (1984), 11-19. MR:85f:65073
  110. T.Roubíček: Unconditional stability of difference formulas. Aplikace Matematiky 28 (1983), 81-90. ZBL:538.65032

III. Contributions to proceedings and book chapters:

  1. C.G. Panagiotopoulos, V. Mantič, T.Roubíček: BEM implementation of energetic solutions for quasistatic delamination problems. (Preprint No.2011-014, Nečas centre, Prague) In: Advances in Boundary Element Techniques XII - BeTeq 2011 (Proceedings of the International Conference on Boundary Element & Meshless Techniques XII), E.L. Albuquerque, M.H. Aliabadi (Eds.), Engineering Conferences Ltd., Eastleigh, 2011, pp. 261--268.
  2. T.Roubíček, M.Kružík, J.Zeman: Delamination and adhesive contact models and their mathematical analysis and numerical treatment. (Preprint No.2011-017, Nečas centre, Prague) Chap. 9 in: Math. Methods and Models in Composites (Ed.V.Mantič), Imperial College Press (Vol. 5 in Comput. Experiment. Meth. in Structures, ISBN 978-1-84816-784-1). 2012, in print.
  3. T.Roubíček: Rate independent processes in viscous solids. In: Rate-Independent Evolution and Material Modeling (Special Section of EQUADIFF 2007, Eds. T.Roubíček, U.Stefanelli.) Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, 2010, pp.45-50, ISSN 1772-8964.
  4. T.Roubíček: Models of martensitic transformation in shape-memory alloys. In: Proc. 5th Intl. Conf. Nonlinear Mechanics (ICNM V), Shanghai Univ. Press, Shanghai, 2007, 1584-1591.
  5. T.Roubíček: Numerical techniques in relaxed optimization problems. In: Proc. Robust Optimization-Directed Design (A.J.Kurdila, P.M.Pardalos, M.Zabrankin, eds.), Springer, New York, 2006, pp.145-161. ZBL:1120.49026
  6. T.Roubíček: Incompressible Fluid Mixtures of Ionized Constituents. In: Proc. Trends in Applications of Mathematics to Mechanics (Eds. Y.Wang, K.Hutter), Shaker Ver., Aachen, 2005, pp.429-440. ZBL:02135603
  7. T.Roubíček: Models of microstructure evolution in shape memory alloys. In: Nonlinear Homogenization and its Appl.to Composites, Polycrystals and Smart Materials. (Eds. P.Ponte Castaneda, J.J.Telega, B.Gambin), NATO Sci. Series II/170, Kluwer, Dordrecht, 2004, pp.269-304.
  8. T.Roubíček: Optimization of steady-state flow of incompressible fluids. Proc. IFIP Conf. Analysis and Optimization of Differential Systems, (V.Barbu, I.Lasiecka, D.Tiba, C.Varsan, eds.), Kluwer Academic Publ., Boston, 2003, pp.357-368. ZBL:1038.35079
  9. T.Roubíček: Optimal design of laminated composites. In: Analysis and Simulation of Multifield Problems (W.Wendland, M.Efendiev, eds.), Lect. Notes in Appl. Comp. Mech. 12, Springer, Berlin, 2003, pp.129-134. ZBL:02151271
  10. T.Roubíček: Microstructure in ferromagnetics and its steady-state and evolution models. In: Communications of Bexbach Colloquium on Science 2000 Vol.II (M.Robnik, A.Ruffing, eds.) Shaker Verlag, Aachen, 2003, pp.39-52.
  11. T.Roubíček, M.Kružík: Adaptive approximation algorithm for relaxed optimization problems. In: Fast solution of discretized optimization problems (K.-H.Hoffmann, R.H.W.Hoppe, V.Schultz, eds.), ISNM 138, Birkhäuser, Basel, 2001, pp.242-254. ZBL:01664847
  12. T.Roubíček: Optimization of fine structure in micromagnetism. In: Free Boundary Problems II, Chiba, 1999. (N.Kenmochi, ed.) Gakuto Int. Series in Math. Sci. Appl. 14, 2000, pp.398-408. ZBL:0964.49019
  13. T.Roubíček: Dissipative evolution of microstructure in shape memory alloys. In: Lectures on Applied Mathematics (H.-J.Bungartz, R.H.W.Hoppe, C.Zenger, eds.) Springer, Berlin, 2000, pp.45-63. ZBL:01531795
  14. J.Málek, T.Roubíček: Optimization of steady flows for incompressible viscous fluids. In: Nonlinear Applied Analysis (Eds. A.Sequiera, H. Beir~ao da Vega, J.H.Videman) Plenum Press, New York, 1999, pp.355-372. ZBL:0962.49017
  15. T.Roubíček: Noncooperative games with elliptic systems. In: Proc. IFIP WG 7.2 Conf. Optimal Control of P.D.E. Chemnitz, April 20-25, 1998. (Eds. K.-H.Hoffmann, G.Leugering, F.Tröltzsch), ISNM 133, Birkhäuser, Basel, 1999, pp.245-255. ZBL:0965.91006
  16. T.Roubíček: Convex locally compact extensions of Lebesgue spaces and their applications. In: Calculus of Variations and Optimal Control. (A.Ioffe, S.Reich, I.Shafrir, eds.) Chapman & Hall / CRC Res. Notes in Math. 411, CRC Press, Boca Raton, FL, 1999, pp.237-250. ZBL:0964.49012
  17. T.Roubíček, M.Kružík: Numerical treatment of microstructure evolution modelling. (Preprint IMA No.1557 (April 1998), University of Minnesota, Minneapolis.) In: ENUMATH 97, Proc. 2nd European Conf. on Numer. Math. and Advanced Appl., Sept.28-Oct.3, 1997, Heidelberg (Eds. H.G.Bock et al.), World Scientific, Singapore, 1998, pp.532-539. ZBL:pre01574001
  18. T.Roubíček: Existence results for some nonconvex optimization problems governed by nonlinear processes. In: Proc. 12th Conf. on Variational Calculus, Optimal Control and Applications, Trassenheide, September 23-27, 1996 (Eds. W.H.Schmidt, K.Heier, L.Bittner, R.Bulirsch) ISNM 124 (1998), Birkhäuser, Basel, pp.87-96. ZBL:931.49002
  19. T.Roubíček: Modelling of microstructure in non-quasiconvex variational problems. In: Free Boundary Problems, Theory and Applications. (M.Niezgódka, P.Strzelecki, eds.) Pitman Res. Notes in Math. 363 (1996), Longmann, Harlow, Essex, pp. 264-270. ZBL:862.49024
  20. T.Roubíček: Relaxation of optimal control problems coercive in Lp-spaces. In: Modelling and Optimization of Distributed Parameter Sytems. K.Malanowski, Z.Nahorski, M.Peszy'nska, eds., Chapman & Hall, London, 1996, pp. 270-277. ZBL:878.49016
  21. T.Roubíček: A note about relaxation of vectorial variational problems. In: Calculus of Variations, Applications and Computations. Proc. 2nd European Conf. on Elliptic and Parabolic Problems, Pont-`a-Mousson, 1994. (Eds.: C.Bandle et al.) Pitman Res. Notes in Math. Sci. 326, Longmann, 1995, pp. 208-214. ZBL:879.49016
  22. T.Roubíček: Optimal control of a microstructure. In: Free Boundary Problems: Theory and Appl. Ed. J.I.Diaz at al., Pitman Res. Notes in Math. 323 (1995), Longmann, Harlow, Essex, pp. 195-202. ZBL:836.49007
  23. T.Roubíček: Various relaxations in optimal control of distributed parameter systems. Proc. Int. Conf. on Control and Estimation of Distributed Parameter Systems. Vorau, July 18-24, 1993, (W.Desch, F.Kappel, K.Kunisch, eds.) ISNM 118, Birkhäuser, Basel, 1994, pp. 327-341. ZBL:813.49005
  24. T.Roubíček: Microstructure evolution models. In: Metz Days 1992, Ed. M.Chipot, Pitman Res. Notes in Math. 296 (1993), Longmann, Harlow, Essex, pp. 67-73. ZBL:851.49022
  25. T.Roubíček: Convex compactifications in optimal control theory. In: Proc. 15th IFIP Conf. Modelling and Optimization of Systems, Sept. 2-6,1991, Zurich, P.Kall, ed., Lecture Notes in Control and Inf. Sci. 180 (1992), Springer, Berlin, pp. 433-439. ZBL:789.49016
  26. T.Roubíček: A note about optimality conditions for variational problems with rapidly oscillating solutions. In: Progress in Partial Differential Equations: Calculus of variations, applications, Eds. C.Bandle et al., (Proc. 1st European Conf. on Elliptic and Parabolic Problems, Pont-`a-Mousson, June 17-21, 1991), Pitman Res. Notes in Math. Sci. 267 (1992), Longmann, Harlow, Essex pp. 312-314. ZBL:794.49021
  27. T.Roubíček: Optimization of a Stefan problem by nonsmooth methods. In: Proc. Int. Conf. on Control and Estimation of Distributed Parameter Systems. (Eds.: W.Desch, F.Kappel, K.Kunisch) Vorau, July 8-14, 1990, ISNM 100 Birkhäuser, Basel, 1991, pp. 295-301. ZBL:748.49028
  28. T.Roubíček: A Stefan problem in multi-component media coupled with a Signorini contact problem. In: Free Boundary Problems Involving Solids. (Proc. Free Boundary Problems: Theory and Appl. 5, Montreal, June 13-22, 1990) (J.M.Chadam, H.Rasmussen, eds.) Pitman Res. Notes in Math. 281 Longmann, Harlow, Essex, pp. 57-61. ZBL:837.35150
  29. T.Roubíček: A note on an interaction between penalization and discretization. In: Proc. IFIP-IIASA Conf. Modelling and Inverse Problems of Control for Distributed Parameter Systems. Laxenburg, July 24-28, 1989. (A.Kurzhanski, I.Lasiecka, eds.) Lecture Notes in Control and Inf. Sci. 154, Springer, Berlin, 1991, pp.145-150. ZBL:742.49021
  30. T.Roubíček: A finite-element approximation of Stefan problems in heterogeneous media. In: Free Boundary Problems. (K.-H. Hoffmann, J. Sprekels, eds.), ISNM 95, Birkhäuser, Basel, 1990, pp. 267-275. ZBL:721.65081
  31. Proximity-space methods in optimization with constraints. Section 9.4 in: Modern Mathematical Methods of Optimization. Mathematical Topics 1 (Ed. K.-H.Elster), Akademie Verlag, Berlin, 1993. ZBL:793.90071
  32. T.Roubíček: Generalized solutions in optimization. In: Proc. 25th Conf. on Decision and Control, Athens, Dec. 10-12, 1986, pp. 1832-1835.

IV. Some others:

  1. T.Roubíček: Zárné zítrky matematického modelování. Vesmír, v tisku.
  2. T.Roubíček: Inviscid limit of viscoelasticity with delamination. In: Variational Methods for Evolution (Eds. A.Mielke, F.Otto, G.Savaré, U.Stefanelli) Oberwolfach Rep. No.55/2011, Mathematisches Forschungsinst. Oberwolfach, 2011, in print. DOI: 10.4171/OWR/2011/55
  3. T.Roubíček, U.Stefanelli (Eds): Rate-Independent Evolution and Material Modeling (Special Section of EQUADIFF 2007) Pubblicazione IMATI-CNR, 29PV10/27/0, Pavia, 2010. ISSN 1772-8964.
  4. J.Zeman, A.Mielke, T.Roubíček: Numerical treatment of a rate-independent model of nonlocal damage. Complete damage in elastic and viscoelastic media and its energetics. Abstract no.1614 , 4th European Conf. Comput. Mech. (ECCM 2010).
  5. T.Roubíček: Across multiscales in solid mechanics via Gamma-convergence in the context of quasistatic evolution. In: Microstructures in Solids: From Quantum Models to Continua (Eds.: A.Mielke, M.Ortiz) Oberwolfach Rep. No.2010/14, Mathematisches Forschungsinst. Oberwolfach, 2010, pp.785-787. DOI: 10.4171/OWR/2010/14
  6. T.Roubíček: Computational approaches to rate-independent processes: via Gamma-convergence to multiscale modelling (C.Carstensen, B.Engquist, eds.), Oberwolfach Rep. No.2009/29, Mathematisches Forschungsinst. Oberwolfach, 2009, pp.1645-1648; DOI: 10.4171/OWR/2009/29.
  7. M.Kružík, T.Roubíček: Matematické a počítačové modelování aktivních materiálů. Vesmír 88 (2009), 21-23.
  8. M.Kočvara, T.Roubíček: "Jirí V. Outrata, sailing analyst, becomes sixty." Appl. Math 52 (2007), 449-452.
  9. T.Roubíček: Zamyšlení nad matematikou, profesory, a jiné. Elektronický časopis iForum, UK, Praha, červen 2007.
  10. G. Dal Maso, G. Francfort, A. Mielke, T.Roubíček (Eds.): Analysis and Numerics for Rate-Independent Processes. Oberwolfach Rep. No.11/2007 Mathematisches Forschungsinst. Oberwolfach, 2007.
  11. T.Roubíček: Rate-independent damage at large strains In: Analysis and Computation of Microstructures in Finite Plasticity (K.Hackl, S.Conti, M.Ortiz eds.), Oberwolfach Rep. No.52/2005, Mathematisches Forschungsinst. Oberwolfach, 2005, pp. 3009-3012.
  12. T.Roubíček: Incompressible ionized fluid mixtures. In: Thermodynamische Materialtheorie (K.Hutter, I.Müller, L.Truskinovski, eds.), Oberwolfach Rep. No.55/2004, Mathematisches Forschungsinst. Oberwolfach, 2004, pp.3008-3009.
  13. M.Kružík, T.Roubíček: Mesoscopic model of microstructure evolution in shape memory alloys with applications to NiMnGa. Preprint IMA No.2003, Univ.of Minnesota, Minneapolis, November 2004.
  14. J. Kratochvíl, T.Roubíček: Obituary for Jindřich Nečas. ISIMM Newsletter (electronic) 02/2003
  15. J. Haslinger, M. Kočvara, T.Roubíček: Optimal control of distributed parameter systems. ERCIM News, 40, January 2000, 24-25.
  16. J. Málek, T. Roubíček, J. Stará: K sedmdesátinám profesora Jindřicha Nečase. Bulletin České společnosti pro mechaniku 3 (1999), 26-29.
  17. T.Roubíček: "Mathematical methods in materials science" at IMA. Kybernetika 31 (1995), 683.
  18. T.Roubíček: Fifth Int. Coll. on Free Boundary Problems: Theory and Applications. Kybernetika 26 (1990), 518-519.
  19. T.Roubíček: Hybridní řešení difúze a konvekce. Automatizace 25 (1982), 264-265.

Last update: May 2012