Original title: On simplicial red refinement in three and higher dimensions
Authors: Korotov, S. ; Křížek, Michal
Document type: Papers
Conference/Event: Applications of Mathematics 2013, Prague (CZ), 2013-05-15 / 2013-05-18
Year: 2013
Language: eng
Abstract: We show that in dimensions higher than two, the popular “red refinement” tech- nique, commonly used for simplicial mesh refinements and adaptivity in the finite element analysis and practice, never yields subsimplices which are all acute even for an acute father element as opposed to the two-dimensional case. In the three-dimensional case we prove that there exists only one tetrahedron that can be partitioned by red refinement into eight congruent subtetrahedra that are all similar to the original one.
Keywords: finite element analysis; red refinement
Host item entry: Applications of Mathematics 2013, ISBN 978-80-85823-61-5

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://www.math.cas.cz/~am2013/proceedings/contributions/korotov.pdf
Original record: http://hdl.handle.net/11104/0221291

Permalink: http://www.nusl.cz/ntk/nusl-154176


The record appears in these collections:
Research > Institutes ASCR > Institute of Mathematics
Conference materials > Papers