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National Repository of Grey Literature

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	hp-metody konečných prvků adaptivní v prostoru i v čase: Přehled metodologie Šolín, P. ; Segeth, Karel ; Doležel, I. We present a new class of self-adaptive higher-order finite element methods (hp-FEM) which are free of analytical error estimates and thus work equally well for virtually all PDE problems ranging from simple linear elliptic equations to complex time-dependent nonlinear multiphysics coupled problems. The methodology was used to solve various types of problems. In this paper we use a nonlinear combustion problem for illustration. Detailed record
	Numerická kvadratura pro metody konečných prvků vyšších prvků Šolín, P. ; Segeth, Karel ; Doležel, I. The importance of suitable numerical quadrature is usually not emphasized in the context of higher-order finite element methods or their p- or hp-adaptive versions. However, quadrature lies at the heart of finite element codes and it influences their performance in a crucial way. After outlining some of the state-of-the-art knowledge and open problems in contemporary numerical quadrature related to finite element methods, we present and discuss several techniques which can (and should) be used where the current knowledge of Gaussian quadrature rules is not sufficient Detailed record
	Some algorithms aspects of higher-order finite element schemes in multidimensions Segeth, Karel ; Šolín, P. ; Kočiřík, M. The higher-order finite element discretization has some nontrivial aspects in 1D and, esperially, 2D and 3D. These phenomena are described in the paper. Detailed record

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