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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

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

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

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