The list of publications of Jan Valdman

(see citations in Orcid, Scopus, zbMATH, MathSciNet, Publons,  Google Scholar, Research Gate, SciProfiles)    

 Theses

1. DSc thesis: Vectorized implementations of the finite element method and applications to nonlinear problems. Czech Academy of Sciences, Prague, submitted (2024), defended (2025).

2. Habilitation thesis: On Modeling and A Posteriori Error Estimates for some Convex Problems in Continuum Mechanics. TU Ostrava, Czech Republic, submitted (2010), defended (2011).

3. PhD thesis (under the guidance of Carsten Carstensen and Martin Brokate): Mathematical and Numerical Analysis of Elastoplastic Material with Multi-Surface Stress-Strain Relation. CAU Kiel, Germany,  submitted (2001), defended (2002).

4. MSc thesis (under the guidance of Henk A. van der Vorst): Upperbounds for the GMRES residuals for some CFD - related problems. University Utrecht, the Netherlands, (1997).

Edited books

1. Jan Valdman, Leszek Marcinkowski (eds.), Modeling and simulation in engineering - selected problems, InTech (Rijeka),
   ISBN: 978-1-83968-249-0, (2020) ->  [file-link]. 

2. Jan Valdman (ed.), Optimization Algorithms - Examples, InTech (Rijeka), ISBN: 978-1-78923-677-4, (2018) -> [file-link]. 

3. Jan Valdman (ed.), Applications from Engineering with MATLAB Concepts, InTech (Rijeka), ISBN 978-953-51-2460-3, (2016) -> [file-link].

Manuscripts and books

1. Tomás A. Revilla, Jan Valdman, Exercises for Mathematics for Artificial Intelligence and Data Science, ISBN 978-80-7694-083-3, 1st edition (2024) -> [file-link].

2. Jan Valdman, Vybrané úlohy řešené na počítači: diskrétní a numerická matematika, (in Czech), ISBN 978-80-7394-905-1, 1st edition (2022),
   3rd edition (2024) -> [file-link].

3. Jan Valdman, Mathematical and Numerical Analysis of Elastoplastic Material with Multi-Surface Stress-Strain Relation. Verlag dissertation.de, ISBN 3-89825-501-8 (2002) -> [file-link].

Chapters in books

1. Peter Gruber, Johanna Kienesberger, Ulrich Langer, Joachim Schoeberl, Jan Valdman, Fast solvers and a posteriori error estimates in elastoplasticity. Langer, Ulrich (ed.) et al., Numerical and symbolic scientific computing. Progress and prospects. New York, NY: Springer. Texts & Monographs in Symbolic Computation, 45-63 (2012) -> [file-link].

Submitted reports

1. Harish Nagula Mallesham, Sharat Gaddam, Jan Valdman, Sanjib Kumar Acharya,  Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB -> [file-link].

2. Tomáš Roubal, Jan Valdman, On semismooth*  path-following method and uniformity of strong metric subregularity at/around the reference point -> [file-link].

3. Alexej Moskovka, Talal Rahman, Jan Valdman, Jon Eivind Vatne, On a vectorized basic linear algebra package for prototyping codes in MATLAB -> [file-link].

4. Tomáš Roubal, Jan Valdman, On Josephy-Halley method for generalized equations -> [file-link].

Journal articles and conference proceedings (technical reports downloadable here) 

1. Jonathan Bevan, Martin Kružík, Jan Valdman, New applications of Hadamard-in-the-mean inequalities to incompressible variational problems, Calculus of Variations and Partial Differential Equations 64, No. 259 (2025) -> [file-link].

2. Alexej Moskovka, Martin Horák, Jan Valdman, Michal Knapek, Miloš Janeček, Petr Sedlák, Miroslav Frost, Fini te-strain constitutive model for shape memory alloys formulated in the logarithmic strain space, Shape Memory and Superelasticity (2025) ->  [file-link].

3. Michal Béreš, Jan Valdman, Minimization of Nonlinear Energies in Python Using FEM and Automatic Differentiation Tools. In: Wyrzykowski, R., Dongarra, J., Deelman, E., Karczewski, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2024. Lecture Notes in Computer Science, vol 15581. Springer, Cham (2025) -> [file-link].

4. Harish Nagula Mallesham, Kamana Porwal, Jan Valdman, Sanjib Kumar Acharya,  Vectorized implementation of primal hybrid FEM in MATLAB, Computers & Mathematics with Applications 180, 144-165 (2025) -> [file-link].

5. Radek Lehner, Jan Valdman, Helena Zídková, Methodology of rotation of general surfaces, MM Science Journal, 7826-7835 (2024) -> [file-link].

6. Mirek Frost, Alexej Moskovka, Jan Valdman, Minimization of energy functionals via FEM: implementation of hp-FEM, I. Lirkov and S. Margenov (eds): LSSC 2023 (2024)  -> [file-link]. 

7. Jonathan Bevan, Martin Kružík, Jan Valdman, Hadamard's inequality in the mean, Nonlinear Analysis 243 (2024) -> [file-link]. 

8. M. Frost , A. Moskovka, P. Sedlák, J. Valdman, Numerical implementation of incremental minimization principle for materials with multiple rate-independent dissipative mechanisms, Proceedings of Computational Mechanics 2023, Srní, Czech Republic (2023) -> [file-link]. 

9. M. Frost , A. Moskovka, J. Valdman, Numerical minimization of energy functionals in continuum mechanics using hp-FEM in MATLAB, Proceedings of Computational Mechanics 2023, Srní, Czech Republic (2023) -> [file-link].

10. Helmut Gfrerer,  M. Mandlmayr, Jiří V. Outrata, Jan Valdman, On the SCD semismooth* Newton method  for generalized equations with application to a class of static contact problems with Coulomb friction. Computational Optimization and Applications 86 (2023), 1159-1191 -> [file-link]. 

11. Stefan Krömer, Jan Valdman, Surface penalization of self-interpenetration in linear and nonlinear elasticity, Applied Mathematical Modelling  122 (2023) 641–664 -> [file-link].

12. Alexej Moskovka, Jan Valdman. MATLAB Implementation of Hp Finite Elements on Rectangles Using Hierarchical Basis Functions.  In: Wyrzykowski R., Deelman E., Dongarra J., Karczewski K. (eds) Parallel Processing and Applied Mathematics. PPAM 2022. Lecture Notes in Computer Science, vol 13827. Springer, Cham (2023) -> [file-link].

13. Alexej Moskovka, Jan Valdman, Marta Vohnoutová. On Minimization of Nonlinear Energies Using FEM in MATLAB.  In: Wyrzykowski R., Deelman E., Dongarra J., Karczewski K. (eds) Parallel Processing and Applied Mathematics. PPAM 2022. Lecture Notes in Computer Science, vol 13827. Springer, Cham (2023) -> [file-link].

14. Patrick Dondl, Martin Jesenko, Martin Kružík, Jan Valdman, Linearization and Computation for Large-Strain Viscoelasticity, Mathematics in Engineering, 5(2): 1–15 (2023) -> [file-link]. 

15. Helmut Gfrerer, Jiří V. Outrata, Jan Valdman, On the application of the SCD semismooth* Newton method to variational inequalities of the second kind. Set-Valued and Variational Analysis (2022)  -> [file-link]. 

16. Mirek Frost, Jan Valdman, Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys. Mathematics 2022, 10(23), 4412 -> [file-link]. 

17. Daria Drozdenko, Michal Knapek, Martin Kružík, Kristián Máthis, Karel Švadlenka, Jan Valdman, Elastoplastic deformations of layered structures, Milan Journal of Mathematics 90, No. 2, 691–706 (2022) -> [file-link]. 

18. Ctirad Matonoha, Alexej Moskovka, Jan Valdman, Minimization of p-Laplacian via the Finite Element Method in MATLAB, I. Lirkov and S. Margenov (eds): LSSC 2021, LNCS 13127, pp. 533–540 (2022) -> [file-link]. 

19. Helmut Gfrerer, Jiří V. Outrata, Jan Valdman, On the solution of contact problems with Tresca friction by the semismooth* Newton method, I. Lirkov and S. Margenov (eds): LSSC 2021, LNCS 13127, pp. 515–523 (2022) -> [file-link]. 

20. Alexej Moskovka, Jan Valdman, Fast MATLAB evaluation of nonlinear energies using FEM in 2D and 3D: nodal elements, Applied Mathematics and Computation 424, 127048  (2022) -> [file-link].  

21. Manuel Friedrich, Martin Kružík, Jan Valdman, Numerical approximation of von Kármán viscoelastic plates, Discrete and Continuous Dynamical Systems, Series S  14(1): 299-319 (2021) -> [file-link].

22. Jan Valdman, Maxim Frolov, Functional-type a posteriori error estimates for solutions of problems in deformable solid mechanics, St. Petersburg Polytechnical State University Journal. Physics and Mathematics. 13 (4) (2020) -> [file-link].

23. Martin Čermák, Stanislav Sysala, Jan Valdman, On vectorized MATLAB implementation of elastoplastic problems, AIP Conference Proceedings 2293, 330003 (2020) -> [file-link].

24. Jiří V. Outrata, Jan Valdman, On computations of optimal strategies in oligopolistic markets respecting the cost of change,  Mathematical Methods of Operations Research 92, 489–509 (2020) -> [file-link].

25. Jan Valdman, MATLAB Implementation of C1 finite elements: Bogner-Fox-Schmit rectangle, In: Wyrzykowski R., Deelman E., Dongarra J., Karczewski K. (eds) Parallel Processing and Applied Mathematics. PPAM 2019. Lecture Notes in Computer Science, vol 12044. Springer, Cham (2020) -> [file-link].

26. Leszek Marcinkowski, Jan Valdman, MATLAB Implementation of Element-based Solvers, I. Lirkov and S. Margenov (eds): LSSC 2019, LNCS 11958, pp. 601–609 (2020) -> [file-link]. 

27. Dirk Pauly, Jan Valdman, Friedrichs/Poincare Type Constants for Gradient, Rotation, and Divergence: Theory and Numerical Experiments, Computers & Mathematics with Applications 79,  No. 11,  3027-3067 (2020) -> [file-link].  

28. Jing-Rebecca Li, Vang-Dang Nguyen, Try Nguyen Tran, Jan Valdman, Bang Cong Trang, Khieu Van Nguyen, Vu Duc Thach Son, Hoang An Tran, Hoang Trong An Tran, Thi Minh Phuong Nguyen, SpinDoctor: a Matlab toolbox for diffusion MRI simulation, Neuroimage 202, pages 116120 (2019) -> [file-link].

29. Stefan Krömer, Jan Valdman, Global injectivity in second-gradient Nonlinear Elasticity and its approximation with penalty terms, Mathematics and Mechanics of Solids 24, No. 11, 3644-3673 (2019) -> [file-link].

30. Miroslav Frost, Martin Kružík, Jan Valdman, Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys, Mathematics and Mechanics of Solids 24, No. 8, 2619-2635 (2019) -> [file-link].

31. Martin Čermák, Stanislav Sysala, Jan Valdman, Efficient and flexible MATLAB implementation of 2D and 3D elastoplastic problems, Applied Mathematics and Computation 355, 595-614 (2019) -> [file-link].

32. Sergey Repin, Jan Valdman, Error identities for variational problems with obstacles, ZAMM - Journal of Applied Mathematics and Mechanics, Zeitschrift für Angewandte Mathematik und Mechanik 98, No. 4, 635-658 (2018) -> [file-link].

33. Sergey Repin, Jan Valdman, Verifications of Primal Energy Identities for Variational Problems with Obstacles, I. Lirkov and S. Margenov (Eds.): LSSC 2017, LNCS 10665, pp. 175–182, (2018) -> [file-link].

34. Martin Kružík, Jan Valdman, Computational modeling of magnetic hysteresis with thermal effects, Mathematics and Computers in Simulation 145, 90-105, (2018) -> [file-link].

35. Farid Bozorgnia, Jan Valdman, A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate, Computers & Mathematics with Applications 73, No. 3, 419-432 (2017) -> [file-link].

36. Tomáš Roubíček, Jan Valdman, Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation, Mathematics and Mechanics of Solids 22, No. 6, 1267-1287 (2017) -> [file-link].

37. Leszek Marcinkowski, Talal Rahman, Atle Loneland, Jan Valdman, Additive Schwarz preconditioner for the general finite volume element discretization, BIT Numerical Mathematics 56, No. 3, 967-993 (2016) -> [file-link]. 

38. Tomáš Roubíček, Jan Valdman, Perfect plasticity with damage and healing at small strains, its modelling, analysis, and computer implementation, SIAM Journal on Applied mathematics 76, No. 1, 314-340 (2016) -> [file-link].

39. P. Harasim, J. Valdman, Guaranteed a posteriori error estimates for obstacle problem for elastic deformation of membrane, Proceedings of APLIMAT 2015 conference, Bratislava, Slovakia, February 3- 5 (2015)  -> [file-link].

40. P. Harasim, J. Valdman, Verification of functional a posteriori error estimates for an obstacle problem, AIP Conference Proceedings 1648, 850042 (2015)  -> [file-link].

41. Jiří Kunovský, Václav Šátek, Jan Valdman, Václav Valenta, Construction of P1 gradient from P0 gradient by averaging, AIP Conference Proceedings 1648, 850080 (2015) -> [file-link].

42. Immanuel Anjam, Jan Valdman, Fast MATLAB assembly of FEM matrices in 2D and 3D: edge elements, Applied Mathematics and Computation 267, 252–263 (2015)  -> [file-link].

43. Sergey Repin, Jan Valdman, A posteriori error estimates for two-phase obstacle problem. Journal of Mathematical Sciences 207, No. 2, 324-336 (2015)  -> [file-link].

44. Petr Harasim, Jan Valdman, Verification of functional a posteriori error estimates for an obstacle problem in 2D,  Kybernetika 50, No. 6, 978-1002 (2014) -> [file-link].

45. Martin Čermák, Tomáš Kozubek, Stanislav Sysala, Jan Valdman, A TFETI Domain Decomposition Solver for Elastoplastic Problems, Applied Mathematics and Computation 231, 634–653 (2014) -> [file-link].

46. Pekka Neittaanmäki, Sergey Repin, Jan Valdman, Estimates of deviations from exact solutions of elasticity problems with nonlinear boundary conditions, Russian Journal of Numerical Analysis and Mathematical Modelling. 28, No.6, 597-630 (2013) -> [file-link].

47. Petr Harasim, Jan Valdman, Verification of functional a posteriori error estimates for an obstacle problem in 1D, Kybernetika 49, No. 5, 738-754 (2013) -> [file link].

48. Talal Rahman, Jan Valdman, Fast MATLAB assembly of FEM  matrices in 2D and 3D: nodal elements, Applied Mathematics and Computation 219, No. 13, 7151–7158 (2013) -> [file-link].

49. Jan Martin Nordbotten, Talal Rahman, Sergey Repin, Jan Valdman, A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model, Computational Methods in Applied Mathematics 10, No. 3, 302-315 (2010) -> [file-link].

50. Leszek Marcinowski, Talal Rahman, Jan Valdman, A 3D Crouzeix-Raviart mortar finite element, Computing 86, No. 4, 313-330 (2009)  -> [file-link].

51. Sergey Repin, Jan Valdman, Functional a posteriori error estimates for incremental models in elasto-plasticity, Central European Journal on Mathematics. 7, No. 3, 506-519 (2009) -> [file-link].

52. Jan Valdman, Minimization of Functional Majorant in A Posteriori Error Analysis based on H(div) Multigrid-Preconditioned CG Method, Advances in Numerical Analysis, vol. 2009, Article ID 164519 (2009) -> [file-link].

53. Peter Gruber, Jan Valdman, Solution of one-time-step problems in elastoplasticity by a Slant Newton Method, SIAM Journal on Scientific Computing 31, No. 2, 1558-1580 (2009) -> [file-link].

54. Sergey Repin, Jan Valdman, Functional a posteriori error estimates for problems with nonlinear boundary conditions, Journal of Numerical Mathematics 16, No. 1, 51-81 (2008) -> [file-link].

55. Peter Gruber, Jan Valdman, Newton-Like Solver for Elastoplastic Problems with Hardening and its Local Super-Linear Convergence, Kunisch, K. (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10-14, 2007. Berlin: Springer. 795-803 (2008) -> [file-link].

56. Peter Gruber, Jan Valdman, Implementation of an elastoplastic solver based on the Moreau-Yosida theorem, Mathematics and Computers in Simulation 76, No. 1-3, 73-81  (2007) ->  [file-link].

57. Andreas Hofinger, Jan Valdman, Numerical solution of the two-yield elastoplastic minimization problem, Computing 81, No. 1, 35-52 (2007) -> [file-link].

58. Johanna Kienesberger, Jan Valdman, An efficient solution algorithm for elastoplasticity and its first implementation towards uniform h- and p- mesh refinements, de Castro, A. (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2005, the 6th European conference on numerical mathematics and advanced applications, Santiago de Compostela, Spain, July 18-22, 2005. Berlin: Springer. 1117-1125 (2006) -> [file-link].

59. Carsten Carstensen, Antonio Orlando, Jan Valdman, A convergent adaptive finite element method for the primal problem of elastoplasticity, International Journal for Numerical Methods in Engineering 67, No. 13, 1851-1887 (2006) -> [file-link].

60. Martin Brokate, Carsten Carstensen, Jan Valdman, A quasi-static boundary value problem in multi-surface elastoplasticity. Part 2: Numerical solution, Mathematical Methods in the Applied Sciences 28, No. 8, 881-901 (2005) -> [file-link].

61. Johanna Kienesberger, Ulrich Langer, Jan Valdman, On a robust multigrid-preconditioned solver for incremental plasticity problems, Proceedings of IMET 2004 - Iterative Methods, Preconditioning & Numerical PDEs, Prague -> [file-link].

62. Martin Brokate, Carsten Carstensen, Jan Valdman, A quasi-static boundary value problem in multi-surface elastoplasticity. Part 1: Analysis, Mathematical Methods in the Applied Sciences 27, No. 14, 1697-1710 (2004) -> [file-link].

63. Johanna Kienesberger, Jan Valdman, Multi-yield elastoplastic continuum-modeling and computations, Feistauer, M. (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2003, the 5th European conference on numerical mathematics and advanced applications, Prague, Czech Republic, August 18-22, 2003. Berlin: Springer. 539-548 (2004)  -> [file-link].

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