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Mnohoúrovňové modelování geomateriálů a iterační řešiče
Blaheta, Radim ; Byczanski, Petr ; Harasim, Petr
The knowledge of microstructure in combination with properties of the constituents and mathematical modelling can be used for investigation of the properties of geomaterials at application scale. We investigate problems with both deterministic knowledge of microstructure, derived from X-ray CT scans, and stochastic one. The stochastic generation is also used for a systematic study of robustness of iterative solvers, particularly for Schwarz methods for PDE problems discretized by mixed FEM.
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Worst scenario method and other approaches to uncertainty
Harasim, Petr
A great many problems in natural, technical, and social sciences can be solved by means of suitable mathematical models. Since the input data of mathematical models is uncertain, the output values are also encubered by uncertainty. It is our goal to evaluate the uncertainty of output data if the uncertainty of input data is somehow speci ed. Here, we con- ne ourselves only to a brief description of stochastic methods, a fuzzy set approach, and the worst scenario method.
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