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- Ivo Babuska, Miloslav Feistauer, Pavel Solín
- Numerische Mathematik
- 2001

We develop a new technique for a posteriori error estimates suitable to parabolic and hyperbolic equations solved by the method of lines. This approach is applied to a general nonlinear parabolic problem with a strongly monotone elliptic operator , to a linear nonstationary convection-diiusion problem and a linear second order hyperbolic problem. The error… (More)

- Veronika Sobotíková, Miloslav Feistauer
- Mathematics and Computers in Simulation
- 2007

- Miloslav Feistauer, Václav Kucera
- J. Comput. Physics
- 2007

- Vít Dolejsí, Miloslav Feistauer, Christoph Schwab
- Mathematics and Computers in Simulation
- 2003

- Miloslav Feistauer, Karel Svadlenka
- J. Num. Math.
- 2004

The paper deals with numerical simulation of a compressible flow in time-dependent 2D domains with a special interest in medical applications to airflow in the human vocal tract. The mathematical model of this process is described by the compressible Navier-Stokes equations. For the treatment of the time-dependent domain, the arbitrary Lagrangian-Eulerian… (More)

- Miloslav Feistauer, Václav Kucera, Karel Najzar, Jaroslava Prokopová
- Numerische Mathematik
- 2011

- Michal Beneš, Pavel Drábek, +11 authors Shigetoshi Yazaki
- 2008

- Jan Cesenek, Miloslav Feistauer
- SIAM J. Numerical Analysis
- 2012

The paper presents the theory of the space-time discontinuous Galerkin finite element method for the discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and nonlinear diffusion. The discon-tinuous Galerkin method is applied separately in space and time using, in general, different space grids on… (More)

- Miloslav Feistauer, Václav Kucera, Jaroslava Prokopová
- Mathematics and Computers in Simulation
- 2010

This work is concerned with the simulation of inviscid compressible flow in time dependent domains. We present an ALE (Arbitrary Lagrangian-Eulerian) formulation of the Euler equations describing compressible flow, discretize them in space by the discontinous Galerkin method and introduce a semi-implicit linearized time stepping for the numerical solution… (More)