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	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
	Aplikace metody BDDC v úlohách lineární elasticity Burda, P. ; Čertíková, M. ; Damašek, Alexandr ; Neumanová, E. ; Novotný, Jaroslav ; Šístek, J. Balancing Domain Decomposition with Constrained Energy Minimization (BDDC) derives benefit from the synergy effect between substructuring methods and multigrid approaches to preconditioning. It has been shown in several studies, that this method posseses very good properties and is competitive with FETI and FETI-DP methods, which could be mentioned among leading algorithms in the field of unstructured meshes decomposition for solving partial differential equations. Detailed record
	Stabilizace metodou GLS při diskretizaci MKP pro řešení proudění s velkými Reynoldsovými čísly Burda, P. ; Novotný, Jaroslav ; Šístek, J. Modified stabilization method is derived and applied to several problems from fluid dynamics to test it. Detailed record
	Porovnání aposteriorních a apriorních odhadů chyby pro Navier-Stokesovy rovnice poblíž singularity Burda, P. ; Novotný, Jaroslav ; Sousedík, B. ; Šístek, J. We apply aposteriori error estimates to solve an incompressible flow problem via adaptive strategy. Using apriori estimates we design the mesh near the corners. Detailed record
	Apriorní a aposteriorní odhady chyby pro Navier-Stokesovy rovnice aplikované na proudění nestlačitelné tekutiny Burda, P. ; Novotný, Jaroslav ; Sousedík, B. ; Šístek, J. In the first part we investigate a posteriori error estimates to solve an incompressible flow problem in a domain that cause singularities in the solution. Second part stands on the result on the asymptotics of the solution in the vicinity of nonconvex internal angles. Detailed record
	Stabilizace MKP pro vazkou nestlačitelnou tekutinu modifikovanou metodou GLS Burda, P. ; Novotný, Jaroslav ; Šístek, J. We deal with 2D flows of incompressible viscous fluid with higher Reynolds numbers. Galerkin Least Squares technique of stabilization of the finite element method is investigated and its modification is described. A number of numerical results is presented. Positive as well as negative properties of stabilization are discussed. Detailed record
	About resolution of singularity in a flow of incompressible fluid on a domain with non-convex corners Burda, P. ; Beneš, V. ; Novotný, Jaroslav ; Šístek, J. We describe resoltion of fluid flow on domain with non-convex corners. Detailed record
	Solution of incompressible flow using FEM adjusted to singularity Šístek, J. ; Burda, P. ; Novotný, Jaroslav We describe solution of incompressible fluid flow using the finite element method on meshes adjusted to singularity. Detailed record
	Aplikace apriorních odhadů chyby pro metodu konečných prvků pro zjemnění sítě poblíž singularity v proudění vazké nestlačitelné tekutiny Šístek, J. ; Burda, P. ; Novotný, Jaroslav In the paper we describe application of apriori error estimates for generation of finite element mesh near singularity for accurate solution of the Navier-Stokes equations. Detailed record

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9	Šístek, Jakub

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