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74S05 Finite element methods (72 articles)

• Benkhira, El-Hassan; El Ouardy, Ilham; Mandyly, Youssef; Fakhar, Rachid: Bounded penalty method for the modified Signorini contact problem with nonlocal Coulomb's friction in electro-elasticity. (English). Applications of Mathematics, vol. 71 (2026), issue 3, pp. 365-392
• Heuer, Norbert; Linss, Torsten: A balanced finite-element method for an axisymmetrically loaded thin shell. (English). Applications of Mathematics, vol. 69 (2024), issue 2, pp. 151-168
• Jedlička, Michal; Němec, Ivan; Vala, Jiří: On the possibilities of computational modelling of interaction of a structure with subsoil. (English). In: Chleboun, J., Papež, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics 22. Institute of Mathematics, Czech Academy of Sciences, Prague, 2025. pp. 73-83
• Bouallala, Mustapha: Weak solvability and numerical analysis of a class of time-fractional hemivariational inequalities with application to frictional contact problems. (English). Applications of Mathematics, vol. 69 (2024), issue 4, pp. 451-479
• Němec, Ivan; Vala, Jiří; Štekbauer, Hynek; Jedlička, Michal; Burkart, Daniel: New methods in collision of bodies analysis. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 133-148
• Vala, Jiří; Rek, Václav: On a computational approach to multiple contacts / impacts of elastic bodies. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 269-280
• Štekbauer, Hynek; Němec, Ivan; Lang, Rostislav; Burkart, Daniel; Vala, Jiří: On a new computational algorithm for impacts of elastic bodies. (English). Applications of Mathematics, vol. 67 (2022), issue 6, pp. 775-804
• Benkhira, El-Hassan; Fakhar, Rachid; Mandyly, Youssef: A convergence result and numerical study for a nonlinear piezoelectric material in a frictional contact process with a conductive foundation. (English). Applications of Mathematics, vol. 66 (2021), issue 1, pp. 87-113
• Vala, Jiří; Kozák, Vladislav: Non-local damage modelling of quasi-brittle composites. (English). Applications of Mathematics, vol. 66 (2021), issue 6, pp. 815-836
• Kohut, Roman: Parallel solution of elasticity problems using overlapping aggregations. (English). Applications of Mathematics, vol. 63 (2018), issue 6, pp. 603-628
• Sysala, Stanislav; Haslinger, Jaroslav; Repin, Sergey: Reliable computation and local mesh adaptivity in limit analysis. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 149-158
• Haslinger, Jaroslav; Repin, Sergey; Sysala, Stanislav: Guaranteed and computable bounds of the limit load for variational problems with linear growth energy functionals. (English). Applications of Mathematics, vol. 61 (2016), issue 5, pp. 527-564
• Mikeš, Karel: Comparison of crack propagation criteria in linear elastic fracture mechanics. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 142-149
• Rozehnalová, Petra; Kučerová, Anna; Štěpánek, Petr: Processes in concrete during fire. (English). In: Chleboun, J., Přikryl, P., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 8-13, 2014. Institute of Mathematics AS CR, Prague, 2015. pp. 181-187
• Harasim, Petr; Valdman, Jan: Verification of functional a posteriori error estimates for obstacle problem in 2D. (English). Kybernetika, vol. 50 (2014), issue 6, pp. 978-1002
• Balazovjech, Martin; Halada, Ladislav: Efficient application of e-invariants in finite element method for an elastodynamic equation. (English). Kybernetika, vol. 49 (2013), issue 5, pp. 765-779
• Haslinger, Jaroslav; Janovský, Vladimír; Kučera, Radek: Path-following the static contact problem with Coulomb friction. (English). In: Brandts, J., Korotov, S., Křížek, M., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2013, In honor of the 70th birthday of Karel Segeth. Proceedings. Prague, May 15-17, 2013. Institute of Mathematics AS CR, Prague, 2013. pp. 104-116
• Harasim, Petr; Valdman, Jan: Verification of functional a posteriori error estimates for obstacle problem in 1D. (English). Kybernetika, vol. 49 (2013), issue 5, pp. 738-754
• Svobodová, Ivona: On an interaction of two elastic bodies: analysis and algorithms. (English). Applications of Mathematics, vol. 57 (2012), issue 4, pp. 333-357
• Ligurský, Tomáš: Theoretical analysis of discrete contact problems with Coulomb friction. (English). Applications of Mathematics, vol. 57 (2012), issue 3, pp. 263-295
• Vejchodský, Tomáš: Aposteriorní odhady chyby v metodě konečných prvků. (Czech) [Aposteriori error estimate in the finite element method]. Pokroky matematiky, fyziky a astronomie, vol. 53 (2008), issue 2, pp. 104-112
• Sysala, Stanislav: Unilateral elastic subsoil of Winkler's type: Semi-coercive beam problem. (English). Applications of Mathematics, vol. 53 (2008), issue 4, pp. 347-379
• Balazovjech, Martin; Halada, Ladislav: Effective computation of restoring force vector in finite element method. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 767-776
• Pultarová, Ivana: The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions. (English). Applications of Mathematics, vol. 50 (2005), issue 3, pp. 323-329
• Mach, Jan: Finite element analysis of free material optimization problem. (English). Applications of Mathematics, vol. 49 (2004), issue 4, pp. 285-307
• Hlaváček, Ivan: Finite element analysis of a static contact problem with Coulomb friction. (English). Applications of Mathematics, vol. 45 (2000), issue 5, pp. 357-379
• Hlaváček, Ivan: Jak řešit úlohy s nejistými vstupními daty?. (Czech) [How to solve problems with uncertain input data?]. Pokroky matematiky, fyziky a astronomie, vol. 44 (1999), issue 2, pp. 111-116
• Janka, Aleš: Algebraic domain decomposition solver for linear elasticity. (English). Applications of Mathematics, vol. 44 (1999), issue 6, pp. 435-458
• Hackbusch, W.; Sauter, S.: A new finite element approach for problems containing small geometric details. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 105-117
• Korotov, Sergey: On equilibrium finite elements in three-dimensional case. (English). Applications of Mathematics, vol. 42 (1997), issue 3, pp. 233-242
• Hlaváček, Ivan: Reissner-Mindlin model for plates of variable thickness. Solution by mixed-interpolated elements. (English). Applications of Mathematics, vol. 41 (1996), issue 1, pp. 57-78
• Rosca, Ioan; Sofonea, Mircea: Error estimates of an iterative method for a quasistatic elastic-visco-plastic problem. (English). Applications of Mathematics, vol. 39 (1994), issue 6, pp. 401-414
• Hlaváček, Ivan: A mixed finite element method for plate bending with a unilateral inner obstacle. (English). Applications of Mathematics, vol. 39 (1994), issue 1, pp. 25-44
• Hlaváček, Ivan: Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method. (English). Applications of Mathematics, vol. 39 (1994), issue 5, pp. 375-394
• Babuška, Ivo: On the $h$, $p$ and $h$ - $p$ version of the finite element method. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 5-18
• Křížek, Michal: Padesát let metody konečných prvků. (Czech) [Fifty years of the finite element method]. Pokroky matematiky, fyziky a astronomie, vol. 37 (1992), issue 3, pp. 129-140
• Hlaváček, Ivan; Křížek, Michal: Weight minimization of elastic bodies weakly supporting tension. I. Domains with one curved side. (English). Applications of Mathematics, vol. 37 (1992), issue 3, pp. 201-240
• Hlaváček, Ivan; Křížek, Michal: Weight minimization of elastic bodies weakly supporting tension. II. Domains with two curved sides. (English). Applications of Mathematics, vol. 37 (1992), issue 4, pp. 289-312
• Křížková, Jitka: Special exact curved finite elements. (English). Applications of Mathematics, vol. 36 (1991), issue 2, pp. 81-95
• Pištora, Vladislav: Shape optimization of an elasto-plastic body for the model with strain- hardening. (English). Aplikace matematiky, vol. 35 (1990), issue 5, pp. 373-404
• Berger, H.; Warnecke, G.; Wendland, W.: On the coupling of finite elements and boundary elements for transonic potential flow computations. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 228-231
• Hlaváček, Ivan; Křížek, Michal: On a superconvergent finite element scheme for elliptic systems. I. Dirichlet boundary condition. (English). Aplikace matematiky, vol. 32 (1987), issue 2, pp. 131-154
• Hlaváček, Ivan; Křížek, Michal: On a superconvergent finite element scheme for elliptic systems. II. Boundary conditions of Newton's or Neumann's type. (English). Aplikace matematiky, vol. 32 (1987), issue 3, pp. 200-213
• Hlaváček, Ivan; Křížek, Michal: On a superconvergent finite element scheme for elliptic systems. III. Optimal interior estimates. (English). Aplikace matematiky, vol. 32 (1987), issue 4, pp. 276-289
• Hlaváček, Ivan: Shape optimization of an elasto-perfectly plastic body. (English). Aplikace matematiky, vol. 32 (1987), issue 5, pp. 381-400
• Haslinger, Jaroslav; Neittaanmäki, Pekka; Tiihonen, Timo: Shape optimization in contact problems based on penalization of the state inequality. (English). Aplikace matematiky, vol. 31 (1986), issue 1, pp. 54-77
• Hlaváček, Ivan: Shape optimization of elastoplastic bodies obeying Hencky's law. (English). Aplikace matematiky, vol. 31 (1986), issue 6, pp. 486-499
• Vondrák, Miroslav: Slab analogy in theory and practice of conforming equilibrium stress models for finite element analysis of plane elastostatics. (English). Aplikace matematiky, vol. 30 (1985), issue 3, pp. 187-217
• Růžičková, Helena; Ženíšek, Alexander: Finite elements methods for solving viscoelastic thin plates. (English). Aplikace matematiky, vol. 29 (1984), issue 2, pp. 81-103
• Bock, Igor; Lovíšek, Ján: An analysis of a contact problem for a cylindrical shell: A primary and dual formulation. (English). Aplikace matematiky, vol. 28 (1983), issue 6, pp. 408-429
• Haslinger, Jaroslav; Tvrdý, Miroslav: Approximation and numerical solution of contact problems with friction. (English). Aplikace matematiky, vol. 28 (1983), issue 1, pp. 55-71
• Nedoma, Jiří: On a type of Signorini problem without friction in linear thermoelasticity. (English). Aplikace matematiky, vol. 28 (1983), issue 6, pp. 393-407
• Hlaváček, Ivan: Optimization of the shape of axisymmetric shells. (English). Aplikace matematiky, vol. 28 (1983), issue 4, pp. 269-294
• Haslinger, Jaroslav; Hlaváček, Ivan: Contact between elastic perfectly plastic bodies. (English). Aplikace matematiky, vol. 27 (1982), issue 1, pp. 27-45
• Křížek, Michal: An equilibrium finite element method in three-dimensional elasticity. (English). Aplikace matematiky, vol. 27 (1982), issue 1, pp. 46-75
• Wenk, Hans-Ullrich: On coupled thermoelastic vibration of geometrically nonlinear thin plates satisfying generalized mechanical and thermal conditions on the boundary and on the surface. (English). Aplikace matematiky, vol. 27 (1982), issue 6, pp. 393-416
• Haslinger, Jaroslav; Hlaváček, Ivan: Contact between elastic bodies. II. Finite element analysis. (English). Aplikace matematiky, vol. 26 (1981), issue 4, pp. 263-290
• Haslinger, Jaroslav; Hlaváček, Ivan: Contact between elastic bodies. III. Dual finite element analysis. (English). Aplikace matematiky, vol. 26 (1981), issue 5, pp. 321-344
• Hlaváček, Ivan: A finite element analysis for elastoplastic bodies obeying Hencky's law. (English). Aplikace matematiky, vol. 26 (1981), issue 6, pp. 449-461
• Axelsson, O.: On the iterative solution of finite element systems of equations. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 25-29
• Janovský, Vladimír; Procházka, Petr: Contact problem of two elastic bodies. II. (English). Aplikace matematiky, vol. 25 (1980), issue 2, pp. 110-136
• Hlaváček, Ivan; Lovíšek, Ján: Finite element analysis of the Signorini problem in semi-coercive cases. (English). Aplikace matematiky, vol. 25 (1980), issue 4, pp. 273-285
• Procházka, Petr: On the solution of one problem of the plate with ribs. (English). Aplikace matematiky, vol. 25 (1980), issue 3, pp. 196-208
• Hlaváček, Ivan: Convergence of an equilibrium finite element model for plane elastostatics. (English). Aplikace matematiky, vol. 24 (1979), issue 6, pp. 427-457
• Haslinger, Jaroslav: Finite element analysis of the Signorini problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 1-17
• Janovský, Vladimír; Procházka, Petr: Convergence analysis of a nonconforming finite element method solving a plate with ribs. (English). Aplikace matematiky, vol. 23 (1978), issue 1, pp. 9-30
• Haslinger, Jaroslav: On numerical solution of a variational inequality of the 4th order by finite element method. (English). Aplikace matematiky, vol. 23 (1978), issue 5, pp. 334-345
• Bock, Igor; Lovíšek, Ján: On the existence of a weak solution of the boundary value problem for the equilibrium of a shallow shell reinforced with stiffening ribs. (English). Aplikace matematiky, vol. 23 (1978), issue 2, pp. 132-149
• Hlaváček, Ivan; Lovíšek, Ján: A finite element analysis for the Signorini problem in plane elastostatics. (English). Aplikace matematiky, vol. 22 (1977), issue 3, pp. 215-228
• Haslinger, Jaroslav; Procházka, Petr: On the solution of a plate with ribs. (English). Aplikace matematiky, vol. 22 (1977), issue 4, pp. 256-271
• Brilla, J.: Finite element analysis of a system of quasi-parabolic partial differential equations. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 5-9
• Janovský, V.: Hybrid variational principles and their use in the finite element method. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 15 (1974), issue 1, pp. 59-61