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Dive into the research topics where Michal Krizek is active.

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Featured researches published by Michal Krizek.


SeMA Journal (former Boletin de la Sociedad Española de Matemática Aplicada) | 2011

ON ANGLE CONDITIONS IN THE FINITE ELEMENT METHOD

Jan Brandts; Antti Hannukainen; Sergey Korotov; Michal Krizek

Angle conditions play an important role in the analysis of the finite element method. They enable us to derive the optimal interpolation order and prove convergence of this method, to derive various a posteriori error estimates, to perform regular mesh refinements, etc. In 1968, Miloš Zlámal introduced the minimum angle condition for triangular elements. From that time onward many other useful geometric angle conditions on the shape of elements appeared. In this paper, we shall give a survey of various generalizations of the minimum and also maximum angle condition in the finite element method and present some of their applications.


Linear Algebra and its Applications | 2007

Dissection of the path-simplex in R-n into n path-subsimplices

Jan Brandts; Sergey Korotov; Michal Krizek


Archive | 2006

On acute and nonobtuse simplicial partitions

Jan Brandts; Sergey Korotov; Michal Krizek; Jakub Šolc


Journal of Computational Mathematics | 2009

Nodal O(h^4)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations

Antti Hannukainen; Sergey Korotov; Michal Krizek


Applications of Mathematics | 2005

Nonobtuse Tetrahedral Partitions that Refine Locally Towards Fichera-Like Corners

Larisa Beilina; Sergey Korotov; Michal Krizek


Annals of Probability | 2003

Gradient superconvergence on uniform simplicial partitions of polytopes

Jan Brandts; Michal Krizek


Journal of Second Language Writing | 2009

On nonobtuse simplicial partitions

Jan Brandts; Sergey Korotov; Michal Krizek; Jakub Šolc


Archive | 2008

O(h^4)-superconvergence of piecewise trilinear FE-approximations in the discrete l-norm

Antti Hannukainen; Sergey Korotov; Michal Krizek


Journal of Physical Chemistry B | 2004

Over de rechthoekige driehoek en zijn hoger dimensionale generalisaties

Jan Brandts; Sergey Korotov; Michal Krizek


Applications of Mathematics | 1998

Book review V.I. Lebedev: An Introduction to Functional Analysis and Computational Mathematics. Birkhäuser, Boston, 1997, xi+255 pages, ISBN 3-7643-3888-1, price DM 118,–

Michal Krizek

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Sergey Korotov

Helsinki University of Technology

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Jan Brandts

University of Amsterdam

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Jakub Šolc

Czech Technical University in Prague

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Sergey Korotov

Helsinki University of Technology

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Larisa Beilina

Chalmers University of Technology

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