Veronika SOBOTÍKOVÁ Associate Professor Department of Mathematics Faculty of Electrical Engineering Czech Technical University Address: Technická 2, 166 27 Praha 6, Czech Republic   (office: Zikova 4, 3rd floor) Phone: department:   (420) 2 2435 3438 office:           (420) 2 2435 3589 Fax: (420) 2 3333 9238 E-mail: sobotik@math.feld.cvut.cz

Výuka

Research interests:

Publications:

• Sobotíková, V.:   "Error analysis of a DG method employing ideal elements applied to a nonlinear convection–diffusion problem."   Journal of Numerical Mathematics. 2011, vol. 19, no. 2, 137-163.
• Sobotíková, V.:   "Ideal curved elements and the discontinuous Galerkin method."   In Numerical Mathematics and Advanced Applications. Berlin Heildelberg: Springer, 2010, 829-837.
• Dolejší, V. - Feistauer, M. - Kučera, V. - Sobotíková, V.:   "L^∞(L²)-error estimates for the DGFEM applied to convection-diffusion problems on nonconforming meshes."   Journal of Numerical Mathematics. 2009, vol. 17, no. 1, 45-65.
• Sobotíková, V.:   "Numerical integration in the DGFEM for 3D nonlinear convection-diffusion problems on nonconforming meshes." Numerical Functional Analysis and Optimization. 2008, vol.29, no. 7-8, 927-958.
• Sobotíková, V.:   "Numerical integration in the discontinuous Galerkin method for nonlinear convection-diffusion problems in 3D."   In Numerical Mathematics and Advanced Applications. Berlin: Springer, 2008, 347-354.
• Dolejší, V. - Feistauer, M. - Kučera, V. - Sobotíková, V.:   "An optimal L^∞(L²)-error estimate for the discontinuous Galerkim approximation of a nonlinear non-stationary convection–diffusion problem."   IMA Journal of Numerical Analysis. 2008, vol. 28, no. 3, 496-521.
• Feistauer, M. - Sobotíková, V.:   "Numerical integration in the DGFEM for nonlinear convection-diffusion problems."   Mathematics and Computers in Simulation. 2007, vol. 76, no. 1-3, 193-197.
• Sobotíková, V. - Feistauer, M.:   "Effect of numerical integration in the DGFEM for nonlinear convection-diffusion problems."   Numerical Methods for Partial Differential Equations. 2007, vol. 23, no. 6, 1368-1395.
• Sobotíková, V.:   "Error estimates of a discontinuous Galerkin method for a nonstationary nonlinear convection-diffusion problem."   In Proceedings of the XVIth Summer School Software and Algorithms of Numerical Mathematics. Pilsen: University of West Bohemia, 2005, 226-235.
• Feistauer, M. - Dolejší, V. - Sobotíková, V.:   "Analysis of the Discontinuous Galerkin Method for Nonlinear Convection-diffusion Problems."   Computer Methods in Applied Mechanics and Engineering. 2005, vol. 2005, no. 194, 2709-2733.
• Sobotíková, V.:   "The Finite Element Analysis of an Elliptic Problem with a Nonlinear Newton Boundary Condition."   In Numerical Mathematics and Advanced Application. Berlin: Springer, 2004, 766-774.
• Sobotíková, V.:   "An Error Estimate for the Finite Element Solution of an Elliptic Problem with a Nonlinear Newton Boundary Condition in Nonpolygonal Domains."   Numerical Functional Analysis and Optimization. 2003, vol. 24, no. 5&6, 621-635.
• Feistauer, M. - Najzar, K. - Sobotíková, V.:   "On the Finite Element Analysis of Problems with Nonlinear Newton Boundary Conditions in Nonpolygonal Domains."   Applications of Mathematics. 2001, vol. 46, no. 5, pp. 353-382.
• Feistauer, M. - Najzar, K. - Sobotíková, V. - Sváček, P.:   "Numerical Analysis of Problems with Nonlinear Newton Boundary Conditions."   In: Numerical Mathematics and Advanced Applications, Proceedings of the Confererence ENUMATH99 (P.Neittaanmaki, T.Tiihonen and P.Tarvainen, eds.). World Scientific, Singapore, 2000, 486-493.
• Feistauer, M. - Najzar, K. - Sobotíková, V.:   "Error Estimates for the Finite Element Solution of Elliptic Problems with Nonlinear Newton Boundary Conditions."   Numerical Functional Analysis and Optimization. 1999, no. 20, 835-851.
• Sobotíková, V.:   "Finite Element Approximation of an Elliptic Problem with a Nonlinear Newton Boundary Condition in Nonpolygonal Domain."   In Proceedings of the XIIIth Summer School Software and Algorithms of Numerical Mathematics. Pilsen: University of West Bohemia, 1999, 271-280.
• Sobotíková, V.:   "Finite Elements on Curved Domains."   East-West Journal of Numerical Mathematics. 1996, vol. 4, no. 2, 137-149.
• Feistauer, M. - Křížek, M. - Sobotíková, V.:   "An Analysis of Finite Element Variational Crimes for a Nonlinear Elliptic Problem of a Nonmonotone Type."   East-West Journal of Numerical Mathematics. 1993, vol. l, no. 4, 267-285.
• Feistauer, M. - Sobotíková, V.:   "Finite Element Approximation of Nonlinear Elliptic Problems with Discontinuous Coefficients."   Mathematical Modelling and Numerical Analysis. 1990, vol. 24, no. 4, 457-500.