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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.

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