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76M10 Finite element methods (34 articles)

• Mandari, Mohamed; Rhoudaf, Mohamed; Soualhi, Ouafa: The generalized finite volume SUSHI scheme for the discretization of the peaceman model. (English). Applications of Mathematics, vol. 66 (2021), issue 1, pp. 115-143
• Formaggia, Luca; Gatti, Federico; Zonca, Stefano: An XFEM/DG approach for fluid-structure interaction problems with contact. (English). Applications of Mathematics, vol. 66 (2021), issue 2, pp. 183-211
• Čapek, Marek: A phase-field method applied to interface tracking for blood clot formation. (English). Applications of Mathematics, vol. 65 (2020), issue 4, pp. 447-481
• Yang, Yun-Bo; Kong, Qiong-Xiang: A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations. (English). Applications of Mathematics, vol. 62 (2017), issue 1, pp. 75-100
• Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub: Analytical solution of rotationally symmetric Stokes flow near corners. (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. 13-20
• Podsechin, Victor; Schernewski, Gerald: Finite element modelling of flow and temperature regime in shallow lakes. (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. 177-184
• Burda, Pavel; Novotný, Jaroslav; Šístek, Jakub: Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 43-54
• 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
• 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
• Březina, Jan: Instability of mixed finite elements for Richards' equation. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 22-27
• Česenek, Jan; Feistauer, Miloslav: Interaction of compressible flow with an airfoil. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 35-41
• Prignitz, Rodolphe; Bänsch, Eberhard: Numerical simulation of suspension induced rheology. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 281-293
• Dolejší, Vít: On the solution of linear algebraic systems arising from the semi–implicit DGFE discretization of the compressible Navier–Stokes equations. (English). Kybernetika, vol. 46 (2010), issue 2, pp. 260-280
• Jia, Shanghui; Xie, Hehu; Yin, Xiaobo; Gao, Shaoqin: Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods. (English). Applications of Mathematics, vol. 54 (2009), issue 1, pp. 1-15
• 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
• Šembera, Jan; Maryška, Jiří; Královcová, Jiřina; Severýn, Otto: A novel approach to modelling of flow in fractured porous medium. (English). Kybernetika, vol. 43 (2007), issue 4, pp. 577-588
• Stebel, Jan; Mäkinen, Raino A. E.; Toivanen, Jukka I.: Optimal shape design in a fibre orientation model. (English). Applications of Mathematics, vol. 52 (2007), issue 5, pp. 391-405
• Deuring, Paul: Stability of a finite element method for 3D exterior stationary Navier-Stokes flows. (English). Applications of Mathematics, vol. 52 (2007), issue 1, pp. 59-94
• Knobloch, Petr: On stability of the $P^{\rm mod}_ n/P_ n$ element for incompressible flow problems. (English). Applications of Mathematics, vol. 51 (2006), issue 5, pp. 473-493
• 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
• 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
• 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
• Maryška, Jiří; Severýn, Otto; Vohralík, Martin: Mixed-hybrid model of the fracture flow. (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. 297-321
• 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
• Angot, Philippe; Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří: Analysis of a combined barycentric finite volume—nonconforming finite element method for nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 43 (1998), issue 4, pp. 263-310
• Lukáčová-Medviďová, Mária: Combined finite element -- finite volume method (convergence analysis). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 717-741
• 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
• Korotov, Sergey: On equilibrium finite elements in three-dimensional case. (English). Applications of Mathematics, vol. 42 (1997), issue 3, pp. 233-242
• 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
• Cliffe, K. A.; Garratt, T. J.; Spence, A.: A modified Cayley transform for the discretized Navier-Stokes equations. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 281-288
• Rannacher, Rolf: Numerical analysis of the Navier-Stokes equations. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 361-380
• Dalík, Josef: A Petrov-Galerkin approximation of convection-diffusion and reaction-diffusion problems. (English). Applications of Mathematics, vol. 36 (1991), issue 5, pp. 329-354
• Lauerová, Dana: The Rothe method and time periodic solutions to the Navier-Stokes equations and equations of magnetohydrodynamics. (English). Aplikace matematiky, vol. 35 (1990), issue 2, pp. 89-98
• Feistauer, Miloslav; Kalis, Harijs; Rokyta, Mirko: Mathematical modelling of an electrolysis process. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 465-477