## Roubíček, Tomáš

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 Author ID: roubicek.tomas Published as: Roubíček, Tomáš; Roubíček, T.; Roubiček, Tomáš; Roubíček, Tomáč; Roubíčdek, Tomáš; Roubíček, Thomáš; Roubíček, Tomaás; Roubíček, Tomáš.; Roubíček, Tomaš; Roubícek, Tomáš; Roubíçek, Tomáş more...less Homepage: http://www.karlin.mff.cuni.cz/~roubicek External Links: ORCID · ResearchGate
 Documents Indexed: 176 Publications since 1983, including 6 Books 1 Contribution as Editor Reviewing Activity: 96 Reviews Biographic References: 1 Publication Co-Authors: 54 Co-Authors with 93 Joint Publications 1,634 Co-Co-Authors
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### Co-Authors

 84 single-authored 17 Kružík, Martin 14 Mielke, Alexander 9 Tomassetti, Giuseppe 8 Panagiotopoulos, Christos G. 7 Mantič, Vladislav 5 Bartels, Sören 4 Hoffmann, Karl-Heinz 4 Stefanelli, Ulisse 4 Zanini, Chiara 3 Benešová, Barbora 3 Vodička, Roman 2 Arndt, Marcel 2 Bouchitté, Guy 2 Freddi, Lorenzo 2 Griebel, Michael 2 Kočvara, Michal 2 Koutný, Jan 2 Nečas, Jindřich 2 Rossi, Riccarda 2 Schmidt, Werner H. 2 Thomas, Marita 2 Valdman, Jan 2 Zeman, Jan 1 Adam, Lukáš 1 Carstensen, Carsten 1 Dal Maso, Gianni 1 Francfort, Gilles A. 1 Frost, Miroslav 1 Guidugli, Paolo Podio 1 Kadeřávek, Lukáš 1 Krömer, Stefan 1 Kurdila, Andrew J. 1 Málek, Josef 1 Matache, Ana-Maria 1 Meziat, René J. 1 Novák, Václav 1 Outrata, Jiří V. 1 Paroni, Roberto 1 Patiño, Diego 1 Plecháč, Petr 1 Pošta, Miroslav 1 Rajagopal, Kumbakonam Ramamani 1 Ramos, Angel Manuel 1 Scardia, Lucia 1 Schwab, Christoph 1 Sedlák, Petr 1 Šittner, Petr 1 Souček, Ondřej 1 Šverák, Vladimír 1 Tröltzsch, Fredi 1 Tsogka, Chrysoula 1 Valášek, Michael 1 Verdi, Claudio 1 Wachsmuth, Daniel
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### Serials

 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Numerical Functional Analysis and Optimization 7 Continuum Mechanics and Thermodynamics 7 Discrete and Continuous Dynamical Systems. Series S 6 Mathematical Methods in the Applied Sciences 5 Kybernetika 4 Journal of Mathematical Analysis and Applications 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Mathematics and Mechanics of Solids 3 Archive for Rational Mechanics and Analysis 3 Aplikace Matematiky 3 Applied Mathematics and Optimization 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Optimization 3 Mathematica Bohemica 3 Journal of Elasticity 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Advances in Mathematical Sciences and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Interfaces and Free Boundaries 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Control and Cybernetics 2 Meccanica 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Convex Analysis 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Multiscale Modeling & Simulation 2 De Gruyter Series in Nonlinear Analysis and Applications 2 ISNM. International Series of Numerical Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 International Journal of Plasticity 1 Časopis Pro Pěstování Matematiky 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 Problems of Control and Information Theory 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Oberwolfach Reports 1 GAMM-Mitteilungen 1 Applied Mathematical Sciences 1 Pure and Applied Functional Analysis 1 Interaction of Mechanics and Mathematics
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### Fields

 95 Partial differential equations (35-XX) 94 Calculus of variations and optimal control; optimization (49-XX) 86 Mechanics of deformable solids (74-XX) 43 Numerical analysis (65-XX) 33 Classical thermodynamics, heat transfer (80-XX) 21 Fluid mechanics (76-XX) 11 Operations research, mathematical programming (90-XX) 9 Optics, electromagnetic theory (78-XX) 7 Functional analysis (46-XX) 7 Operator theory (47-XX) 7 General topology (54-XX) 5 Geophysics (86-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mechanics of particles and systems (70-XX)

### Citations contained in zbMATH Open

147 Publications have been cited 1,774 times in 905 Documents Cited by Year
Nonlinear partial differential equations with applications. Zbl 1087.35002
Roubíček, Tomáš
2005
Nonlinear partial differential equations with applications. 2nd ed. Zbl 1270.35005
Roubíček, Tomáš
2013
Rate-independent systems. Theory and application. Zbl 1339.35006
Mielke, Alexander; Roubíček, Tomáš
2015
Relaxation in optimization theory and variational calculus. Zbl 0880.49002
Roubíček, Tomáš
1997
$$\Gamma$$-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
2008
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
2006
Thermodynamics of rate-independent processes in viscous solids at small strains. Zbl 1213.35279
Roubíček, Tomáš
2010
A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207
Mielke, Alexander; Roubíček, Tomáš
2003
Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. Zbl 1106.74048
Kružík, Martin; Mielke, Alexander; Roubíček, Tomáš
2005
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
2006
Adhesive contact of visco-elastic bodies and defect measures arising by vanishing viscosity. Zbl 1264.35131
Roubíček, Tomáš
2013
Rate-independent processes in viscous solids at small strains. Zbl 1239.35158
Roubíček, Tomáš
2009
A complete-damage problem at small strains. Zbl 1238.74005
Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš
2009
Complete damage in elastic and viscoelastic media and its energetics. Zbl 1227.74058
Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan
2010
Thermodynamics and analysis of rate-independent adhesive contact at small strains. Zbl 1217.35108
Rossi, Riccarda; Roubíček, Tomáš
2011
Mathematical methods in continuum mechanics of solids. Zbl 1416.74001
Kružík, Martin; Roubíček, Tomáš
2019
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037
Bartels, Sören; Roubíček, Tomáš
2011
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
2012
Quasistatic delamination problem. Zbl 1179.74130
Roubíček, Tomáš; Scardia, Lucia; Zanini, Chiara
2009
Rate-independent elastoplasticity at finite strains and its numerical approximation. Zbl 1349.35371
Mielke, Alexander; Roubíček, Tomáš
2016
Numerical approximation of Young measures in non-convex variational problems. Zbl 0945.65070
Carstensen, Carsten; Roubíček, Tomáš
2000
Quasistatic adhesive contact of visco-elastic bodies and its numerical treatment for very small viscosity. Zbl 1432.74197
Roubíček, Tomaás; Panagiotopoulos, Christos G.; Mantič, Vladislav
2013
Modelling and numerical simulation of martensitic transformation in shape memory alloys. Zbl 1068.74588
Arndt, M.; Griebel, M.; Roubíček, T.
2003
A thermodynamically consistent theory of the ferro/paramagnetic transition. Zbl 1226.82017
Podio-Guidugli, Paolo; Roubíček, Tomáš; Tomassetti, Giuseppe
2010
From damage to delamination in nonlinearly elastic materials at small strains. Zbl 1253.74088
Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita
2012
Explicit characterization of $$L^ p$$-Young measures. Zbl 0876.49039
Kružík, Martin; Roubíček, Tomáš
1996
Incompressible ionized non-Newtonian fluid mixtures. Zbl 1148.35070
Roubíček, Tomáš
2007
Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation. Zbl 1383.74016
Roubíček, Tomáš; Valdman, Jan
2016
On the effect of dissipation in shape-memory alloys. Zbl 1023.74036
Rajagopal, K. R.; Roubíček, Tomáš
2003
Incompressible ionized fluid mixtures. Zbl 1113.76097
Roubíček, Tomáš
2006
Thermo-viscoelasticity at small strains with $$L^1$$-data. Zbl 1160.74011
Roubíček, Tomáš
2009
On the measures of DiPerna and Majda. Zbl 0902.28009
Kružík, Martin; Roubíček, Tomáš
1997
Optimization problems with concentration and oscillation effects: Relaxation theory and numerical approximation. Zbl 0940.49002
Kružík, Martin; Roubíček, Tomáš
1999
A generalization of the Lions-Temam compact imbedding theorem. Zbl 0755.46013
Roubíček, Tomáš
1990
Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems. Zbl 1304.35377
Roubíček, Tomáš
2015
Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis. Zbl 1294.80005
Roubíček, Tomáš; Tomassetti, Giuseppe
2013
Thermomechanics of damageable materials under diffusion: modelling and analysis. Zbl 1333.35276
Roubíček, Tomáš; Tomassetti, Giuseppe
2015
Martensitic transformation in NiMnGa single crystals: numerical simulation and experiments. Zbl 1099.74049
Arndt, M.; Griebel, M.; Novák, V.; Roubíček, T.; Šittner, P.
2006
Numerical approaches to rate-independent processes and applications in inelasticity. Zbl 1166.74010
Mielke, Alexander; Roubíček, Tomáš
2009
Nonlinearly coupled thermo-visco-elasticity. Zbl 1268.74019
Roubíček, Tomáš
2013
Thermodynamics of shape-memory alloys under electric current. Zbl 1201.74029
Roubíček, Tomáš; Tomassetti, Giuseppe
2010
Optimal control of planar flow of incompressible non-Newtonian fluids. Zbl 1387.76033
Wachsmuth, Daniel; Roubíček, Tomáš
2010
Adhesive contact delaminating at mixed mode, its thermodynamics and analysis. Zbl 1275.35131
Rossi, Riccarda; Roubíček, Tomáš
2013
Buoyancy-driven viscous flow with $$L^1$$-data. Zbl 1031.76004
Nečas, Jindřich; Roubíček, Tomáš
2001
Microstructure evolution model in micromagnetics. Zbl 1059.82047
Roubíček, Tomáš; Kružík, Martin
2004
Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. Zbl 1444.74012
Mielke, Alexander; Roubíček, Tomáš
2020
Models of microstructure evolution in shape memory alloys. Zbl 1320.74087
Roubíček, T.
2005
Thermoviscoplasticity at small strains. Zbl 1153.74011
Bartels, Sören; Roubíček, Tomáš
2008
Ferromagnets with eddy currents and pinning effects: their thermodynamics and analysis. Zbl 1213.35179
Roubíček, Tomáš; Tomassetti, Giuseppe
2011
Evolution model for martensitic phase transformation in shape-memory alloys. Zbl 0998.35058
Roubíček, Tomáš
2002
Stress-driven local-solution approach to quasistatic brittle delamination. Zbl 1326.74104
Roubíček, Tomáš; Thomas, Marita; Panagiotopoulos, Christos G.
2015
Thermodynamics of perfect plasticity. Zbl 1262.35139
Roubíček, Tomáš
2013
Delamination and adhesive contact models and their mathematical analysis and numerical treatment. Zbl 1303.74014
Roubíček, Tomáš; Kružík, Martin; Zeman, Jan
2014
Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys. Zbl 1012.35051
Plecháč, Petr; Roubíček, Tomáš
2002
Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model. Zbl 1306.74037
Vodička, Roman; Mantič, Vladislav; Roubíček, Tomáš
2014
Optimal control of Navier-Stokes equations by Oseen approximation. Zbl 1133.49024
Pošta, Miroslav; Roubíček, Tomáš
2007
Lipschitz stability of optimal controls for the steady-state Navier-Stokes equestions. Zbl 1127.49021
Roubíček, Tomaš; Tröltzsch, Fredi
2003
Nash equilibria in noncooperative predator-prey games. Zbl 1187.49032
Ramos, Angel Manuel; Roubíček, Tomáš
2007
Optimal control of causal differential-algebraic systems. Zbl 1020.49001
Roubiček, Tomáš; Valášek, Michael
2002
Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis. Zbl 1309.35168
Roubíček, Tomáš; Tomassetti, Giuseppe
2014
The Stefan problem in heterogeneous media. Zbl 0706.35139
Roubíček, Tomáš
1989
Optimality conditions for nonconvex variational problems relaxed in terms of Young measures. Zbl 1274.49040
Roubíček, Tomáš
1998
Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation. Zbl 1371.74055
Roubíček, Tomáš; Valdman, Jan
2017
The Gilbert equation with dry-friction-type damping. Zbl 1183.35261
Roubíček, Tomáš; Tomassetti, Giuseppe; Zanini, Chiara
2009
About the concept of measure-valued solutions to distributed parameter systems. Zbl 0828.35024
Roubíček, Tomáš; Hoffmann, Karl-Heinz
1995
BEM solution of delamination problems using an interface damage and plasticity model. Zbl 1312.74055
Panagiotopoulos, C. G.; Mantič, V.; Roubíček, T.
2013
Mesoscopic model for ferromagnets with isotropic hardening. Zbl 1084.82020
Roubíček, T.; Kružík, M.
2005
Numerical approximation of relaxed variational problems. Zbl 0881.65058
Roubíček, T.
1996
Magnetic shape-memory alloys: thermomechanical modelling and analysis. Zbl 1341.74032
Roubíček, Tomáš; Stefanelli, Ulisse
2014
Modelling of thermodynamics of martensitic transformation in shape-memory alloys. Zbl 1163.35416
Roubíček, Tomáš
2007
Quasistatic delamination models for Kirchhoff-Love plates. Zbl 1280.74032
Freddi, L.; Paroni, R.; Roubíček, T.; Zanini, C.
2011
Approximation in multiscale modelling of microstructure evolution in shape-memory alloys. Zbl 1272.74487
Roubíček, Tomáš
2011
Quasistatic delamination of sandwich-like Kirchhoff-Love plates. Zbl 1275.49019
Freddi, Lorenzo; Roubíček, Tomáš; Zanini, Chiara
2013
A quasistatic mixed-mode delamination model. Zbl 1270.35286
Roubíček, Tomáš; Mantič, V.; Panagiotopoulos, C. G.
2013
Linear-programming approach to nonconvex variational problems. Zbl 1063.65051
Bartels, Sören; Roubíček, Tomáš
2004
Higher-order convex approximations of Young measures in optimal control. Zbl 1027.65086
Matache, Ana-Maria; Roubíček, Tomáš; Schwab, Christoph
2003
Convergent computational method for relaxed optimal control problems. Zbl 0703.49028
Roubíček, T.
1991
A model of rupturing lithospheric faults with reoccurring earthquakes. Zbl 1295.35283
Roubíček, Tomáš; Souček, Ondřej; Vodička, Roman
2013
Dissipative evolution of microstructure in shape memory alloys. Zbl 0993.74048
Roubíček, T.
2000
Optimal control of a Stefan problem with state-space constraints. Numerical approximation. Zbl 0589.65056
Roubíček, Tomáš
1987
Generalized solutions of constrained optimization problems. Zbl 0603.90137
Roubíček, Tomáš
1986
Quasistatic adhesive contact delaminating in mixed mode and its numerical treatment. Zbl 1327.74115
Kružík, Martin; Panagiotopoulos, Christos G.; Roubíček, Tomáš
2015
Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation. Zbl 1157.74032
Roubíček, Tomáš; Kružik, Martin
2006
Optimal control of nonlinear Fredholm integral equations. Zbl 0908.49018
Roubíček, T.
1998
Convex locally compact extensions of Lebesgue spaces and their applications. Zbl 0964.49012
Roubíček, T.
2000
Relaxation of optimal control problems coercive in $$L^ p$$-spaces. Zbl 0878.49016
Roubíček, T.
1996
Finite element approximation of a microstructure evolution. Zbl 0796.65108
Roubíček, Tomáš
1994
Approximation theory for generalized Young measures. Zbl 0854.65051
Roubíček, Tomáš
1995
A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis. Zbl 1393.35091
Roubíček, Tomáš; Tomassetti, Giuseppe
2018
Steady-state buoyancy-driven viscous flow with measure data. Zbl 0981.35054
Roubíček, Tomáš
2001
Stable extensions of constrained optimization problems. Zbl 0683.49007
Roubíček, Tomáš
1989
Numerical techniques in relaxed optimization problems. Zbl 1120.49026
Roubíček, Tomáš
2006
Theory of convex local compactifications with applications to Lebesgue spaces. Zbl 1129.46306
Roubíček, Tomáš; Hoffmann, Karl-Heinz
1995
On noncooperative nonlinear differential games. Zbl 1274.91073
Roubíček, Tomáš
1999
Relaxation in optimization theory and variational calculus. 2nd revised and extended edition. Zbl 1451.49002
Roubiček, Tomáš
2020
Nonlinear heat equation with $$L^1$$-data. Zbl 0921.35078
Roubíček, Tomáš
1998
Noncooperative games with elliptic systems. Zbl 0965.91006
Roubíček, Tomáš.
1999
On non-Newtonian fluids with energy transfer. Zbl 1162.76305
Roubíček, T.
2009
Direct method for parabolic problems. Zbl 0961.34050
Roubíček, Tomáš
2000
Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling. Zbl 1255.74055
Benešová, B.; Roubíček, T.
2012
From quasi-incompressible to semi-compressible fluids. Zbl 07451488
Roubíček, Tomáš
2021
Cahn-Hilliard equation with capillarity in actual deforming configurations. Zbl 1454.35378
Roubíček, Tomáš
2021
Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. Zbl 1444.74012
Mielke, Alexander; Roubíček, Tomáš
2020
Relaxation in optimization theory and variational calculus. 2nd revised and extended edition. Zbl 1451.49002
Roubiček, Tomáš
2020
Quasistatic viscoelasticity with self-contact at large strains. Zbl 1458.35240
Krömer, Stefan; Roubíček, Tomáš
2020
Mathematical methods in continuum mechanics of solids. Zbl 1416.74001
Kružík, Martin; Roubíček, Tomáš
2019
Models of dynamic damage and phase-field fracture, and their various time discretisations. Zbl 1443.74256
Roubícek, Tomáš
2019
Finite thermoelastoplasticity and creep under small elastic strains. Zbl 1445.74014
Roubíček, Tomáš; Stefanelli, Ulisse
2019
A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis. Zbl 1393.35091
Roubíček, Tomáš; Tomassetti, Giuseppe
2018
Thermodynamics of elastoplastic porous rocks at large strains towards earthquake modeling. Zbl 1406.35397
Roubíček, Tomáš; Stefanelli, Ulisse
2018
Seismic waves and earthquakes in a global monolithic model. Zbl 1396.86009
Roubíček, Tomáš
2018
Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation. Zbl 1371.74055
Roubíček, Tomáš; Valdman, Jan
2017
Geophysical models of heat and fluid flow in damageable poro-elastic continua. Zbl 1365.86033
Roubíček, Tomáš
2017
An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat. Zbl 06710672
Roubíček, Tomáš
2017
Energy-conserving time discretization of abstract dynamic problems with applications in continuum mechanics of solids. Zbl 1375.35546
Roubíček, Tomáš; Panagiotopoulos, Christos G.
2017
Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM. Zbl 1356.35255
Vodička, Roman; Mantič, Vladislav; Roubíček, Tomáš
2017
Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains. Zbl 1379.35327
Adam, L.; Outrata, J.; Roubíček, T.
2017
Rate-independent elastoplasticity at finite strains and its numerical approximation. Zbl 1349.35371
Mielke, Alexander; Roubíček, Tomáš
2016
Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation. Zbl 1383.74016
Roubíček, Tomáš; Valdman, Jan
2016
Rate-independent systems. Theory and application. Zbl 1339.35006
Mielke, Alexander; Roubíček, Tomáš
2015
Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problems. Zbl 1304.35377
Roubíček, Tomáš
2015
Thermomechanics of damageable materials under diffusion: modelling and analysis. Zbl 1333.35276
Roubíček, Tomáš; Tomassetti, Giuseppe
2015
Stress-driven local-solution approach to quasistatic brittle delamination. Zbl 1326.74104
Roubíček, Tomáš; Thomas, Marita; Panagiotopoulos, Christos G.
2015
Quasistatic adhesive contact delaminating in mixed mode and its numerical treatment. Zbl 1327.74115
Kružík, Martin; Panagiotopoulos, Christos G.; Roubíček, Tomáš
2015
Local-solution approach to quasistatic rate-independent mixed-mode delamination. Zbl 1321.35112
Roubíček, Tomáš; Panagiotopoulos, Christos G.; Mantič, Vladislav
2015
Delamination and adhesive contact models and their mathematical analysis and numerical treatment. Zbl 1303.74014
Roubíček, Tomáš; Kružík, Martin; Zeman, Jan
2014
Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model. Zbl 1306.74037
Vodička, Roman; Mantič, Vladislav; Roubíček, Tomáš
2014
Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis. Zbl 1309.35168
Roubíček, Tomáš; Tomassetti, Giuseppe
2014
Magnetic shape-memory alloys: thermomechanical modelling and analysis. Zbl 1341.74032
Roubíček, Tomáš; Stefanelli, Ulisse
2014
Nonlinear partial differential equations with applications. 2nd ed. Zbl 1270.35005
Roubíček, Tomáš
2013
Adhesive contact of visco-elastic bodies and defect measures arising by vanishing viscosity. Zbl 1264.35131
Roubíček, Tomáš
2013
Quasistatic adhesive contact of visco-elastic bodies and its numerical treatment for very small viscosity. Zbl 1432.74197
Roubíček, Tomaás; Panagiotopoulos, Christos G.; Mantič, Vladislav
2013
Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis. Zbl 1294.80005
Roubíček, Tomáš; Tomassetti, Giuseppe
2013
Nonlinearly coupled thermo-visco-elasticity. Zbl 1268.74019
Roubíček, Tomáš
2013
Adhesive contact delaminating at mixed mode, its thermodynamics and analysis. Zbl 1275.35131
Rossi, Riccarda; Roubíček, Tomáš
2013
Thermodynamics of perfect plasticity. Zbl 1262.35139
Roubíček, Tomáš
2013
BEM solution of delamination problems using an interface damage and plasticity model. Zbl 1312.74055
Panagiotopoulos, C. G.; Mantič, V.; Roubíček, T.
2013
Quasistatic delamination of sandwich-like Kirchhoff-Love plates. Zbl 1275.49019
Freddi, Lorenzo; Roubíček, Tomáš; Zanini, Chiara
2013
A quasistatic mixed-mode delamination model. Zbl 1270.35286
Roubíček, Tomáš; Mantič, V.; Panagiotopoulos, C. G.
2013
A model of rupturing lithospheric faults with reoccurring earthquakes. Zbl 1295.35283
Roubíček, Tomáš; Souček, Ondřej; Vodička, Roman
2013
Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition. Zbl 1261.35083
Benešová, B.; Kružík, M.; Roubíček, T.
2013
Numerical approaches to thermally coupled perfect plasticity. Zbl 1277.74021
Bartels, Sören; Roubíček, Tomáš
2013
Quasi-static small-strain plasticity in the limit of vanishing hardening and its numerical approximation. Zbl 1248.35105
Bartels, Sören; Mielke, Alexander; Roubíçek, Tomáş
2012
From damage to delamination in nonlinearly elastic materials at small strains. Zbl 1253.74088
Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita
2012
Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling. Zbl 1255.74055
Benešová, B.; Roubíček, T.
2012
Thermodynamics and analysis of rate-independent adhesive contact at small strains. Zbl 1217.35108
Rossi, Riccarda; Roubíček, Tomáš
2011
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037
Bartels, Sören; Roubíček, Tomáš
2011
Ferromagnets with eddy currents and pinning effects: their thermodynamics and analysis. Zbl 1213.35179
Roubíček, Tomáš; Tomassetti, Giuseppe
2011
Quasistatic delamination models for Kirchhoff-Love plates. Zbl 1280.74032
Freddi, L.; Paroni, R.; Roubíček, T.; Zanini, C.
2011
Approximation in multiscale modelling of microstructure evolution in shape-memory alloys. Zbl 1272.74487
Roubíček, Tomáš
2011
Thermodynamics of rate-independent processes in viscous solids at small strains. Zbl 1213.35279
Roubíček, Tomáš
2010
Complete damage in elastic and viscoelastic media and its energetics. Zbl 1227.74058
Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan
2010
A thermodynamically consistent theory of the ferro/paramagnetic transition. Zbl 1226.82017
Podio-Guidugli, Paolo; Roubíček, Tomáš; Tomassetti, Giuseppe
2010
Thermodynamics of shape-memory alloys under electric current. Zbl 1201.74029
Roubíček, Tomáš; Tomassetti, Giuseppe
2010
Optimal control of planar flow of incompressible non-Newtonian fluids. Zbl 1387.76033
Wachsmuth, Daniel; Roubíček, Tomáš
2010
Coarse-convex-compactification approach to numerical solution of nonconvex variational problems. Zbl 1196.49025
Meziat, René; Roubíček, Tomáš; Patiño, Diego
2010
Rate-independent processes in viscous solids at small strains. Zbl 1239.35158
Roubíček, Tomáš
2009
A complete-damage problem at small strains. Zbl 1238.74005
Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš
2009
Quasistatic delamination problem. Zbl 1179.74130
Roubíček, Tomáš; Scardia, Lucia; Zanini, Chiara
2009
Thermo-viscoelasticity at small strains with $$L^1$$-data. Zbl 1160.74011
Roubíček, Tomáš
2009
Numerical approaches to rate-independent processes and applications in inelasticity. Zbl 1166.74010
Mielke, Alexander; Roubíček, Tomáš
2009
The Gilbert equation with dry-friction-type damping. Zbl 1183.35261
Roubíček, Tomáš; Tomassetti, Giuseppe; Zanini, Chiara
2009
On non-Newtonian fluids with energy transfer. Zbl 1162.76305
Roubíček, T.
2009
Erratum: Rate independent processes in viscous solids at small strains. Math. Meth. Appl. Sci. 2009; 32:825-862. Zbl 1194.35226
Roubíček, Tomáš
2009
$$\Gamma$$-limits and relaxations for rate-independent evolutionary problems. Zbl 1302.49013
Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
2008
Thermoviscoplasticity at small strains. Zbl 1153.74011
Bartels, Sören; Roubíček, Tomáš
2008
Identification of Preisach-type hysteresis operators. Zbl 1138.65041
Koutný, Jan; Kružík, Martin; Kurdila, Andrew J.; Roubíček, Tomáš
2008
Incompressible ionized non-Newtonian fluid mixtures. Zbl 1148.35070
Roubíček, Tomáš
2007
Optimal control of Navier-Stokes equations by Oseen approximation. Zbl 1133.49024
Pošta, Miroslav; Roubíček, Tomáš
2007
Nash equilibria in noncooperative predator-prey games. Zbl 1187.49032
Ramos, Angel Manuel; Roubíček, Tomáš
2007
Modelling of thermodynamics of martensitic transformation in shape-memory alloys. Zbl 1163.35416
Roubíček, Tomáš
2007
A mesoscopic model of shape memory alloys. Zbl 1139.74435
Roubíčdek, Tomáš; Kružík, Martin; Koutný, Jan
2007
On Nash equilibria for noncooperative games governed by the Burgers equation. Zbl 1127.91012
Roubíček, T.
2007
Rate-independent damage processes in nonlinear elasticity. Zbl 1094.35068
Mielke, Alexander; Roubíček, Tomáš
2006
A rate-independent approach to the delamination problem. Zbl 1133.74038
Kočvara, Michal; Mielke, Alexander; Roubíček, Tomáš
2006
Incompressible ionized fluid mixtures. Zbl 1113.76097
Roubíček, Tomáš
2006
Martensitic transformation in NiMnGa single crystals: numerical simulation and experiments. Zbl 1099.74049
Arndt, M.; Griebel, M.; Novák, V.; Roubíček, T.; Šittner, P.
2006
Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation. Zbl 1157.74032
Roubíček, Tomáš; Kružik, Martin
2006
Numerical techniques in relaxed optimization problems. Zbl 1120.49026
Roubíček, Tomáš
2006
Nonlinear partial differential equations with applications. Zbl 1087.35002
Roubíček, Tomáš
2005
Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. Zbl 1106.74048
Kružík, Martin; Mielke, Alexander; Roubíček, Tomáš
2005
Models of microstructure evolution in shape memory alloys. Zbl 1320.74087
Roubíček, T.
2005
Mesoscopic model for ferromagnets with isotropic hardening. Zbl 1084.82020
Roubíček, T.; Kružík, M.
2005
Incompressible fluid mixtures of ionized constituents. Zbl 1072.76070
Roubíček, Tomáš
2005
Microstructure evolution model in micromagnetics. Zbl 1059.82047
Roubíček, Tomáš; Kružík, Martin
2004
Linear-programming approach to nonconvex variational problems. Zbl 1063.65051
Bartels, Sören; Roubíček, Tomáš
2004
A rate-independent model for inelastic behavior of shape-memory alloys. Zbl 1183.74207
Mielke, Alexander; Roubíček, Tomáš
2003
Modelling and numerical simulation of martensitic transformation in shape memory alloys. Zbl 1068.74588
Arndt, M.; Griebel, M.; Roubíček, T.
2003
On the effect of dissipation in shape-memory alloys. Zbl 1023.74036
Rajagopal, K. R.; Roubíček, Tomáš
2003
Lipschitz stability of optimal controls for the steady-state Navier-Stokes equestions. Zbl 1127.49021
Roubíček, Tomaš; Tröltzsch, Fredi
2003
Higher-order convex approximations of Young measures in optimal control. Zbl 1027.65086
Matache, Ana-Maria; Roubíček, Tomáš; Schwab, Christoph
2003
Optimization of steady-state flow of incompressible fluids. Zbl 1038.35079
Roubíček, Tomáš
2003
Evolution model for martensitic phase transformation in shape-memory alloys. Zbl 0998.35058
Roubíček, Tomáš
2002
Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys. Zbl 1012.35051
Plecháč, Petr; Roubíček, Tomáš
2002
Optimal control of causal differential-algebraic systems. Zbl 1020.49001
Roubiček, Tomáš; Valášek, Michael
2002
Buoyancy-driven viscous flow with $$L^1$$-data. Zbl 1031.76004
Nečas, Jindřich; Roubíček, Tomáš
2001
Steady-state buoyancy-driven viscous flow with measure data. Zbl 0981.35054
Roubíček, Tomáš
2001
Existence in optimal control problems of certain Fredholm integral equations. Zbl 1004.49020
Roubíček, Tomáš; Schmidt, Werner H.
2001
Adaptive approximation algorithm for relaxed optimization problems. Zbl 1009.49027
Roubíček, Tomáč; Kružík, Martin
2001
Numerical approximation of Young measures in non-convex variational problems. Zbl 0945.65070
Carstensen, Carsten; Roubíček, Tomáš
2000
...and 47 more Documents
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### Cited by 986 Authors

 79 Roubíček, Tomáš 39 Kružík, Martin 38 Mielke, Alexander 36 Stefanelli, Ulisse 28 Rossi, Riccarda 15 Thomas, Marita 14 Tomassetti, Giuseppe 13 Knees, Dorothee 12 Bonetti, Elena 11 Bartels, Sören 11 Zanini, Chiara 10 Beneš, Michal 10 Heinemann, Christian 9 Akagi, Goro 9 Benešová, Barbora 9 Carstensen, Carsten 9 Crismale, Vito 9 Dal Maso, Gianni 9 Emmrich, Etienne 9 Lasarzik, Robert 9 Valdman, Jan 8 Kraus, Christiane 8 Lazzaroni, Giuliano 8 Mantič, Vladislav 8 Meyer, Christian 8 Rocca, Elisabetta 8 Savaré, Giuseppe 7 Bonfanti, Giovanna 7 Davoli, Elisa 7 Friedrich, Manuel 7 Heida, Martin 7 Liero, Matthias 7 Rindler, Filip 6 Almi, Stefano 6 Alvarez-Vázquez, Lino Jose 6 Chełmiński, Krzysztof 6 Eleuteri, Michela 6 Fernández, Francisco Javier 6 Jüngel, Ansgar 6 Miehe, Christian 6 Migórski, Stanisław 6 Nardini, Lorenzo 6 Negri, Matteo 6 Otárola, Enrique 6 Panagiotopoulos, Christos G. 6 Papageorgiou, Nikolaos S. 6 Peletier, Mark Adriaan 6 Scala, Riccardo 6 Schimperna, Giulio 6 Slodička, Marián 6 Zeman, Jan 5 Alessi, Roberto 5 Altmann, Robert 5 Arada, Nadir 5 Babadjian, Jean-François 5 Bartosz, Krzysztof 5 Conti, Sergio 5 De Jesus, Isaías Pereira 5 Hackl, Klaus 5 Hintermüller, Michael 5 Kaltenbacher, Barbara 5 Kovtunenko, Viktor Anatolievich 5 Krejčí, Pavel 5 Luskin, Mitchell 5 Martinez, Aurea 5 Mora, Maria Giovanna 5 Owczarek, Sebastian 5 Paoli, Laetitia A. 5 Prohl, Andreas 5 Růžička, Michael 5 Schlömerkemper, Anja 5 Solombrino, Francesco 5 Stupkiewicz, Stanisław 5 Süli, Endre E. 5 Toader, Rodica 5 Visintin, Augusto 5 Wohlmuth, Barbara I. 4 Abels, Helmut 4 Auricchio, Ferdinando 4 Bělík, Pavel 4 Bessoud, Anne Laure 4 Bulíček, Miroslav 4 Coletsos, John 4 Dolzmann, Georg 4 Eisenmann, Monika 4 Fiaschi, Alice 4 Fritz, Marvin 4 Gasiński, Leszek 4 Gidoni, Paolo 4 Grandi, Diego 4 Gwiazda, Piotr 4 Herzog, Roland 4 Kalita, Piotr 4 Kogut, Peter I. 4 Kopfová, Jana 4 Li, Zhiping 4 Mehrmann, Volker 4 Meziat, René J. 4 Nikolić, Vanja 4 Orlando, Gianluca ...and 886 more Authors
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### Cited in 202 Serials

 42 Journal of Mathematical Analysis and Applications 34 Archive for Rational Mechanics and Analysis 34 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 33 Nonlinear Analysis. Real World Applications 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Discrete and Continuous Dynamical Systems. Series S 27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 25 Journal of Differential Equations 20 Continuum Mechanics and Thermodynamics 18 Computer Methods in Applied Mechanics and Engineering 18 Calculus of Variations and Partial Differential Equations 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 SIAM Journal on Mathematical Analysis 14 NoDEA. Nonlinear Differential Equations and Applications 13 Mathematical Methods in the Applied Sciences 12 Discrete and Continuous Dynamical Systems 11 Applicable Analysis 11 Computers & Mathematics with Applications 11 Numerical Functional Analysis and Optimization 11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 10 Journal of the Mechanics and Physics of Solids 10 GAMM-Mitteilungen 9 Meccanica 9 Numerische Mathematik 9 SIAM Journal on Control and Optimization 9 Mathematics and Mechanics of Solids 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Applied Numerical Mathematics 8 Journal of Elasticity 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Mathematics of Computation 7 Applied Mathematics and Computation 7 Journal of Computational and Applied Mathematics 7 Journal of Optimization Theory and Applications 7 Journal of Nonlinear Science 7 European Journal of Mechanics. A. Solids 7 Journal of Evolution Equations 6 Applied Mathematics and Optimization 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Computational Mechanics 6 Evolution Equations and Control Theory 6 Advances in Nonlinear Analysis 5 Calcolo 5 Journal of Functional Analysis 5 Mathematics and Computers in Simulation 5 SIAM Journal on Numerical Analysis 5 Asymptotic Analysis 5 Applications of Mathematics 5 Computational Optimization and Applications 5 Mathematical Control and Related Fields 5 Nonlinear Analysis. Theory, Methods & Applications 4 BIT 4 Ricerche di Matematica 4 Optimization 4 European Journal of Applied Mathematics 4 Applied Mathematical Modelling 4 SIAM Journal on Applied Mathematics 4 Journal of Mathematical Fluid Mechanics 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Communications on Pure and Applied Analysis 3 International Journal of Engineering Science 3 International Journal of Plasticity 3 Journal of Computational Physics 3 Kybernetika 3 Quarterly of Applied Mathematics 3 Acta Applicandae Mathematicae 3 Journal of Scientific Computing 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Dynamics and Differential Equations 3 Fractional Calculus & Applied Analysis 3 Lobachevskii Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Computational Methods in Applied Mathematics 3 Milan Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 Mathematical Modelling of Natural Phenomena 3 Set-Valued and Variational Analysis 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Communications in Mathematical Physics 2 Inverse Problems 2 Journal of Mathematical Physics 2 Nonlinearity 2 Automatica 2 International Journal for Numerical Methods in Engineering 2 Mathematische Nachrichten 2 Zeitschrift für Analysis und ihre Anwendungen 2 Physica D 2 Numerical Methods for Partial Differential Equations 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Global Optimization 2 International Journal of Computer Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Indagationes Mathematicae. New Series 2 SIAM Journal on Optimization 2 SIAM Journal on Scientific Computing 2 Topological Methods in Nonlinear Analysis 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 Interfaces and Free Boundaries ...and 102 more Serials
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### Cited in 40 Fields

 507 Partial differential equations (35-XX) 407 Mechanics of deformable solids (74-XX) 282 Calculus of variations and optimal control; optimization (49-XX) 161 Numerical analysis (65-XX) 126 Fluid mechanics (76-XX) 60 Operator theory (47-XX) 59 Classical thermodynamics, heat transfer (80-XX) 45 Ordinary differential equations (34-XX) 44 Statistical mechanics, structure of matter (82-XX) 38 Optics, electromagnetic theory (78-XX) 36 Operations research, mathematical programming (90-XX) 35 Functional analysis (46-XX) 28 Biology and other natural sciences (92-XX) 27 Systems theory; control (93-XX) 23 Probability theory and stochastic processes (60-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Mechanics of particles and systems (70-XX) 10 Real functions (26-XX) 9 General topology (54-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral equations (45-XX) 6 Computer science (68-XX) 5 Geophysics (86-XX) 5 Information and communication theory, circuits (94-XX) 4 Approximations and expansions (41-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX)