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Programy a algoritmy numerické matematiky 13
Chleboun, Jan ; Segeth, Karel ; Vejchodský, Tomáš
The book contains papers presented at the international conference Programs and Algorithms of Numerical Mathematics 13(PANM 13) held in Prague, Czech Republic, May 28-31, 2006, in honor of Ivo Babuska´s 80th birthday. It is the thirteenth volume in the series of the PANM proceedings. The topics of contributions include numerical methods for fluid flow modelling, the finite element method, a posteriori error estimates, topics from numerical linear algebra, etc.
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Sandia workshop: úloha z mechaniky konstrukcí
Chleboun, Jan
A frame with uncertain material data is considered. The Young modulus is represented through a random field whose characteristics are not known. The frame response to a given lood is to be assessed on the basis of a limited number of measurements of local and effective Young modulus values. The contribution presents an approach based on probability, fuzzy set, and the worst scenario tools.
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K Sandia problému mechaniky konstrukcí
Chleboun, Jan
A structural mechanics problem with uncertain modulus of elasticity is considered. A displacement in a loaded frame is to be predicted on the basis of a limited number of measurements of the modulus. This contribution estimates the displacement under the assumption of uniformly distributed random variables related to the measured values.
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Coupling the Worst Scenario Method with Fuzzy Input Data
Chleboun, Jan
Inputs entering a mathematical model are considered uncertain, i.e., they are not given in a crisp form but only within a set of admissible data. The solution to the model is evaluated through a functional (criterion) reflecting a particular feature of the solution, e.g., local temperature, velocity, stress. The higher value, the "worse" solution. The goal of the worst scenario method...
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