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65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (46 articles)

• Feistauer, Miloslav; Horáček, Jaromír; Kučera, Václav; Prokopová, Jaroslava: On numerical solution of compressible flow in time-dependent domains. (English). Mathematica Bohemica, vol. 137 (2012), issue 1, pp. 1-16
• Vinogradova, Polina; Zarubin, Anatoli: A study of Galerkin method for the heat convection equations. (English). Applications of Mathematics, vol. 57 (2012), issue 1, pp. 71-91
• Zhang, Tie; Zhang, Shuhua: Finite element derivative interpolation recovery technique and superconvergence. (English). Applications of Mathematics, vol. 56 (2011), issue 6, pp. 513-531
• Havle, Oto; Dolejší, Vít; Feistauer, Miloslav: Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 353-372
• Bastian, Peter; Heimann, Felix; Marnach, Sven: Generic implementation of finite element methods in the Distributed and Unified Numerics Environment (DUNE). (English). Kybernetika, vol. 46 (2010), issue 2, pp. 294-315
• Voigt, Axel; Witkowski, Thomas: Hybrid parallelization of an adaptive finite element code. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 316-327
• Azari, Hossein; Zhang, Shuhua: Global superconvergence of finite element methods for parabolic inverse problems. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 285-294
• Karátson, János; Korotov, Sergey: Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems. (English). Applications of Mathematics, vol. 54 (2009), issue 4, pp. 297-336
• Lin, Qun; Liu, Tang; Zhang, Shuhua: Superconvergence estimates of finite element methods for American options. (English). Applications of Mathematics, vol. 54 (2009), issue 3, pp. 181-202
• Jia, Shanghui; Li, Deli; Liu, Tang; Zhang, Shuhua: Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media. (English). Applications of Mathematics, vol. 53 (2008), issue 1, pp. 13-39
• Mikyška, Jiří; Illangasekare, Tissa H.: Application of a multiphase flow code for investigation of influence of capillary pressure parameters on two-phase flow. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 831-840
• Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex: Counting number of cells and cell segmentation using advection-diffusion equations. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 817-829
• Balazovjech, Martin; Halada, Ladislav: Effective computation of restoring force vector in finite element method. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 767-776
• Handlovičová, Angela: Perona-Malik equation: properties of explicit finite volume scheme. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 523-532
• Feistauer, Miloslav; Hájek, Jaroslav; Švadlenka, Karel: Space-time discontinuos Galerkin method for solving nonstationary convection-diffusion-reaction problems. (English). Applications of Mathematics, vol. 52 (2007), issue 3, pp. 197-233
• Drblíková, Olga: Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 777-788
• Park, Jong Yeoul; Park, Sun Hye: Existence and asymptotic stability for viscoelastic problems with nonlocal boundary dissipation. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 273-286
• Lukáčová-Medviďová, Mária; Saibertová-Zatočilová, Jitka: Finite volume schemes for multi-dimensional hyperbolic systems based on the use of bicharacteristics. (English). Applications of Mathematics, vol. 51 (2006), issue 3, pp. 205-228
• Eymard, R.; Gallouët, T.; Herbin, R.: Finite volume schemes for nonlinear parabolic problems: another regularization method. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 3-9
• Feistauer, Miloslav; Kučera, Václav: Higher order method for the numerical solution of the compressible Euler equations. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 87-95
• Blesgen, Thomas: On ab-initio computations for phase change problems in solids. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 17-26
• Růžička, Michael: Modeling, mathematical and numerical analysis of electrorheological fluids. (English). Applications of Mathematics, vol. 49 (2004), issue 6, pp. 565-609
• Lukáčová-Medviďová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef: On evolution Galerkin methods for the Maxwell and the linearized Euler equations. (English). Applications of Mathematics, vol. 49 (2004), issue 5, pp. 415-439
• Vejchodský, Tomáš: Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 129-151
• Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka: Galerkin approximations for the linear parabolic equation with the third boundary condition. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 111-128
• Rokyta, Mirko: Hyperbolické systémy, entropie a metoda konečných objemů. (Czech) [Hyperbolic systems, entropy and the method of finite volumes]. Pokroky matematiky, fyziky a astronomie, vol. 47 (2002), issue 4, pp. 287-297
• Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří; Kliková, Alice: Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 4, pp. 301-340
• Becker, Jürgen; Grün, Günther; Lenz, Martin; Rumpf, Martin: Numerical methods for fourth order nonlinear degenerate diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 6, pp. 517-543
• Feistauer, Miloslav; Najzar, Karel; Švadlenka, Karel: On a parabolic problem with nonlinear Newton boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 429-455
• Dolejší, V.; Feistauer, M.; Schwab, C.: On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 163-179
• Park, Jong Yeoul; Bae, Jeong Ja: On the existence of solutions for some nondegenerate nonlinear wave equations of Kirchhoff type. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 781-795
• Zlámal, Miloš: Finite element solution of the fundamental equations of semiconductor devices. II. (English). Applications of Mathematics, vol. 46 (2001), issue 4, pp. 251-294
• Beneš, Michal; Mikyška, Jiří: Geothermal flow in porous media. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 25-35
• Říhová-Škabrahová, Dana: Linear scheme for finite element solution of nonlinear parabolic-elliptic problems with nonhomogeneous Dirichlet boundary condition. (English). Applications of Mathematics, vol. 46 (2001), issue 2, pp. 103-144
• Dolejší, V.; Feistauer, M.; Schwab, C.: On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 65-80
• Dalík, Josef; Daněček, Josef; Vala, Jiří: Numerical solution of the Kiessl model. (English). Applications of Mathematics, vol. 45 (2000), issue 1, pp. 3-17
• Park, Jong Yeoul; Bae, Jeong Ja: On solutions of quasilinear wave equations with nonlinear damping terms. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 565-585
• Brandts, Jan H.: A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. (English). Applications of Mathematics, vol. 44 (1999), issue 6, pp. 407-419
• Brandts, Jan H.: Superconvergence of mixed finite element semi-discretizations of two time-dependent problems. (English). Applications of Mathematics, vol. 44 (1999), issue 1, pp. 43-53
• Lukáčová-Medviďová, Mária: Combined finite element -- finite volume method (convergence analysis). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 717-741
• Kärkkäinen, Tommi: Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 259-277
• Lukáčová-Medviďová, Mária: Numerical solution of compressible flow. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 201-210
• Chen, Zhangxin; Espedal, Magne; Ewing, Richard E.: Continuous-time finite element analysis of multiphase flow in groundwater hydrology. (English). Applications of Mathematics, vol. 40 (1995), issue 3, pp. 203-226
• Arbogast, Todd; Dawson, Clint N.; Wheeler, Mary F.: A parallel algorithm for two phase multicomponent contaminant transport. (English). Applications of Mathematics, vol. 40 (1995), issue 3, pp. 163-174
• Hlavička, Rudolf: Finite element solution of a hyperbolic-parabolic problem. (English). Applications of Mathematics, vol. 39 (1994), issue 3, pp. 215-239
• Brezzi, Franco; Marini, L. D.; Pietra, P.: On some recent results on the numerical problems in semiconductor device simulation. (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. 9-17