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FFT and FEM
Okrouhlík, Miloslav
The contribition deals with applications of Fourier series, Fourier integral and Fast Fourier transform to stress wave phenomena in solid mechanics.
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Když dobrá shoda nestačí
Okrouhlík, Miloslav
Paper deals with assessment of accuracy, credibility and reliability of results obtained by analytical, experimental and numerical methods within the scope of computational mechanics.
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Rudolf Brepta – his life, work and people around him
Okrouhlík, Miloslav
The paper is devoted to life of Rudolf Brepta and to his scientific achievements. A survey of his investigation deeds, dedicated to propagation of stress waves in solids, is presented as well as contributions of his colleagues and co-workers. The analytical methods he used are briefly sketched out and a few typical results are shown
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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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