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High performance computing in micromechanics
Blaheta, Radim ; Hrtus, Rostislav ; Jakl, Ondřej ; Starý, Jiří
By micromechanics we understand analysis of the macroscale response of materials through investigation of processes in their microstructure. Here by the macroscale, we mean the scale of applications, where we solve engineering problems involving materials like different metals and composites in aircraft design or rocks and concrete in a dam construction. Different applications are characterized by different characteristic size. At macroscale the materials mostly look as homogeneous or they are idealized as homogeneous or piecewise homogeneous. A substantial heterogeneity is hidden and appears only after more detailed zooming view into the material.
Plný tet: UGN_0426823 -  PDF
Plný text: content.csg - PDF
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Stability of suspension bridges in lateral wind
Malík, Josef
The collapse of the original Tacoma suspension bridge has been studied in many papers. On 7 November 1940 around 10 a.m. the torsional oscillations appeared on the deck of the original Tacoma bridge after the loosening of one midspan cable band, which resulted in the lateral asymmetry of the construction. It seems that the loosening of the midspan cable band had a significant impact on the behavior of the bridge and in the end it resulted in the collapse.
Plný tet: UGN_0425332 - PDF
Plný text: content.csg - PDF
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Slightly generalized regular space decompositions
Kolcun, Alexej
Space decomposition methods represent an important part of numerical modelling process. In many applications it is suitable to use the simplest case of decomposition { regular rectangular grid: the whole raster graphic concept can be seen from this point of view. Dierent raster concept, based on regular hexagonal mesh, is analyzed e.g. in [18]. Generalized task { decomposition of the space to the set of the identical elements have been presented in various research areas since a long time, and it is connected with Hilbert's 18th problem [9], [10].
Plný tet: UGN_0425285 - PDF
Plný text: content.csg - PDF
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Mathematics in image processing
Šorel, Michal
In this tutorial we explained a unified view of many image processing and computer vision problems based on Bayesian frawork. To find solution this approach uses either methods of continuous optimization or discrete optimization methods on Markov random fields.
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