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	Modelování problémů proudění nestlačitelné tekutiny metodou konečných prvků Burda, P. ; Novotný, Jaroslav ; Šístek, Jakub ; Damašek, Alexandr We deal with modelling of flows in channels with abrupt changes of the diameter. We use a posteriori error estimates and adaptive strategy. We obtain solution with desired precision also in the vicinity of the corner, though there is a singularity. Detailed record
	Nedávný pohled na metodu BDDC a její paralelní implementaci Šístek, Jakub ; Sousedík, Bedřich ; Čertíková, Marta ; Burda, P. ; Neumanová, E. ; Novotný, Jaroslav ; Damašek, Alexandr A new view at the BDDC method was presented. Parallel implementation is described. Numerical results show effectiveness of the method. Detailed record
	Metoda konečných prvků pro Navierovy-Stokesovy rovnice v některých problémech nestlačitelného proudění Burda, P. ; Novotný, Jaroslav ; Šístek, Jakub We deal with 2D flows of incompressible viscous fluid modelled by the Navier-Stokes equations. We focus on reliable modelling of flows in channels or tubes with abrupt changes of the diameter. We present two techniques: one is based on aposteriori error estimates and adaptivity, second makes use of the apriori error estimates and asymptotic behaviour of the solution near the corners. Detailed record
	Vývoj efektivního paralelního BDDC řešiče pro úlohy lineární pružnosti Šístek, Jakub ; Čertíková, Marta ; Burda, P. ; Neumanová, E. ; Pták, Svatopluk ; Novotný, Jaroslav ; Damašek, Alexandr Our goal is to develop an efficient implementation of the BDDC method, which could be used fo solution of large problems of today's computational mechanics and structural analysis. A parallel approach is necessary for the usage of powerfull computer resources. We present results of computations of practical problems in 3D elasticty. Detailed record
	Aplikace metody dekompozice domén BDDC na výpočet napětí v konstrukcích Šístek, Jakub ; Čertíková, Marta ; Novotný, Jaroslav ; Burda, P. ; Damašek, Alexandr We deal with the Balancing domain decomposition with constraints method (BDDC) applied to 3D elasticity. Theoretical framework is recalled in the first part. The second part describes implementation of the method on parallel computers. Several numerical results of practical problems of structural analysis are presented. Detailed record
	Apriorní a aposteriorní odhady chyby v metodě konečných prvků pro Navier-Stokesovy rovnice a aplikace Burda, P. ; Novotný, Jaroslav ; Šístek, J. We present applications of a priori and a posteriori error estimates to the calculation of acurate solution of Navier-Stokes equations using the finite element method. Detailed record
	O aplikaci apriorních odhadů pro Navier-Stokesovy rovnice Burda, P. ; Novotný, Jaroslav ; Šístek, J. We present applications of apriori error estimates for accurate solution of Navier-Stokes equations using finite lements. Detailed record
	Stabilizace užitím GLS metody konečných prvků pro řešení proudění pro vyšší Reynoldsova čísla Burda, P. ; Novotný, Jaroslav ; Šístek, J. We present improvement of Galerkin Least Squares stabilization for Navier-Stokes equations and numerical results of finite element computations. Detailed record
	Porovnání a posriorních a apriorních odhadů MKP pro Navier-Stokesovy rovnice poblíž singularity Burda, P. ; Novotný, Jaroslav ; Šístek, J. We compare a posteriori and apriori error estimates for FEM solution of Navier-Stokes equations. Detailed record
	Aplikace apriorních a aposteriorních odhadů chyb k dosažení přesného řešení nestlačitelného proudění pomocí MKP Burda, P. ; Novotný, Jaroslav ; Šístek, J. One of the open problems in fluid dynamics we deal with is reliable modelling of flows in channels with abrupt changes of the diameter. The goal of this work is to construct the FEM solution in the vicinity of these corners as precise as desired. The first approach makes use of aposteriori error estimates of the FEM solution. The second approach uses the aprriori error estimate of the FEM solution based on estimation of the seminorm of the exact solution by means of the asymptotic behaviour of the exact solution of the NSE in the vicinity of the corner. Numerical results are demonstrated on two examples. Detailed record

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