Matematiikan ja systeemianalyysin laitos


Research reports by Jan Brandts

Here are the reports authored by Jan Brandts. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

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
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
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
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
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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