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National Repository of Grey Literature

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	Výpočetní srovnání diskretizační a iterační chyby Vejchodský, Tomáš The paper presents the Poisson equation and its solution by the finite element method. A numerical example is show, where besides the exact solution also the exact discrete solution is explicitely known. This allows to compare the discretization error and the error in the approximate solution of the system of linear algebraic system. Detailed record
	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. Detailed record
	Zlepšování podmíněnosti v hp verzi metody konečných prvků Vejchodský, Tomáš ; Šolín, Pavel We present the problem of choice of higher-order basis functions for hp-version of the finite element method (hp-FEM) with respect to the condition number of the resulting stiffness matrix. We compare numerically the condition numbers for several popular sets of basis functions. We show that the best conditioning have the basis functions that are orthogonal in the energetic sense on the reference element. Moreover, any two sets of basis functions with this property have identical condition number of both stiffnes and mass matrices. Detailed record

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