Matematiikan ja systeemianalyysin laitos

Research reports by Michal Krizek

Here are the reports authored by Michal Krizek. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

A567: Antti Hannukainen, Sergey Korotov, Michal Krizek; On a bisection algorithm that produces conforming locally refined simplicial meshes [pdf][ps]; Received 2009-04-09 * bisection algorithm, simplicial elements, conforming finite element method, local refinements, nested meshes * AMS 65N50, 65M50 * 11 pages
A561: Antti Hannukainen, Sergey Korotov, Michal Krizek; On nodal superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations [pdf][ps]; Received 2008-12-02 * higher order error estimates, tetrahedral and prismatic elements, superconvergence, averaging operators * AMS 65N30 * 13 pages
A559: Sergey Korotov, Michal Krizek, Jakub Solc; On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix [pdf][ps]; Received 2008-11-28 * discrete maximum principle, finite element method, acute triangulations, full diffusion tensor * AMS 65N30, 65N50 * 10 pages
A525: Jan Brandts, Sergey Korotov, Michal Krizek; The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem [pdf][ps] abstract: [pdf][ps]; Received 2007-07-13 / Revised 2007-07-18 * reaction-diffusion problem, maximum principle, finite element method, discrete maximum principle, simplicial partition, angle condition * AMS 65N30, 65N50 * 16 pages
A521: Sergey Korotov, Ales Kropac, Michal Krizek; Strong regularity of a family of face-to-face partitions generated by the longest-edge bisection algorithm [pdf][ps] abstract: [pdf][ps]; Received 2007-04-24 * Zlamal's minimum angle condition, simplicial elements, conforming finite element method, nested partitions * AMS 65M50, 65N30 * 18 pages
A517: Jan Brandts, Sergey Korotov, Michal Krizek; Simplicial finite elements in higher dimensions [pdf][ps] abstract: [pdf][ps]; Received 2007-02-07 * n-simplex, finite element method, superconvergence, strengthened Cauchy-Schwarz inequality, discrete maximum principle * AMS 65N30, 51M20 * 16 pages
A505: Jan Brandts, Sergey Korotov, Michal Krizek; On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * finite element method, inscribed ball, circumscribed ball, regular family of simplicial partitions, Zl'amal's condition * AMS 65N12, 65N30 * 11 pages
A504: Janos Karatson, Sergey Korotov, Michal Krizek; On discrete maximum principles for nonlinear elliptic problems [pdf][ps] abstract: [pdf][ps]; Received 2006-07-26 * nonlinear elliptic problem, mixed boundary conditions, discrete maximum principle, finite element method, quadratures * AMS 65N30, 65N50, 35B50, 35J65 * 17 pages
A503: Jan Brandts, Sergey Korotov, Michal Krizek, Jakub Solc; On acute and nonobtuse simplicial partitions [pdf][ps] abstract: [pdf][ps]; Received 2006-07-25 * ortho-simplices, path-simplices, Delaunay triangulation, Kuhn partition, polytope * AMS 51M20, 65N30 * 17 pages
A496: Jan Brandts, Sergey Korotov, Michal Krizek; Dissection of the path-simplex in R^n into n path-subsimplices [pdf][ps] abstract: [pdf][ps]; Received 2006-03-03 * n-simplex, path-simplex, Coxeter's trisection, self-similarity * AMS 51M20, 65N30 * 15 pages

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Matematiikan ja systeemianalyysin laitos

Research reports by Michal Krizek

Helsinki University of Technology Institute of Mathematics Research Reports A

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