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National Repository of Grey Literature

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	Tři způsoby interpolace na konečných prvcích Šolín, Pavel ; Segeth, Karel Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects. Detailed record
	Fieldless Methods for the Simulation of Induction Heating of 3D Non-Ferromagnetic Metal Bodies Doležel, Ivo ; Šolín, Pavel ; Ulrych, B. In the present study we introduce a class of novel methods for the mathematical modelling and numerical solution of the induction heating of non-ferromagnetic metal bodies in harmonic electromagnetic fields. The main advantage of the presented approach is the elimination of the surrounding air from the electromagnetic model. Detailed record
	Metody přímek vyššího řádu a odhady chyby pro dvourozměrné nelineární parabolické úlohy Segeth, Karel ; Šolín, P. ; Zítka, M. Numerical solution of initial-value problems for nonlinear parabolic equations by the finite element method becomes an essential tool for the development of new technologies in applications to electromagnetics, diffusion and heat transfer processes, chemistry, coupled problems, and others. The paper is concerned with the application of higher-order adaptive schemes. Detailed record

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