Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners

Larisa Beilina; Sergey Korotov; Michal Křížek

Applications of Mathematics (2005)

  • Volume: 50, Issue: 6, page 569-581
  • ISSN: 0862-7940

Abstract

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Linear tetrahedral finite elements whose dihedral angles are all nonobtuse guarantee the validity of the discrete maximum principle for a wide class of second order elliptic and parabolic problems. In this paper we present an algorithm which generates nonobtuse face-to-face tetrahedral partitions that refine locally towards a given Fichera-like corner of a particular polyhedral domain.

How to cite

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Beilina, Larisa, Korotov, Sergey, and Křížek, Michal. "Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners." Applications of Mathematics 50.6 (2005): 569-581. <http://eudml.org/doc/33239>.

@article{Beilina2005,
abstract = {Linear tetrahedral finite elements whose dihedral angles are all nonobtuse guarantee the validity of the discrete maximum principle for a wide class of second order elliptic and parabolic problems. In this paper we present an algorithm which generates nonobtuse face-to-face tetrahedral partitions that refine locally towards a given Fichera-like corner of a particular polyhedral domain.},
author = {Beilina, Larisa, Korotov, Sergey, Křížek, Michal},
journal = {Applications of Mathematics},
keywords = {partial differential equations; finite element method; path tetrahedron; linear tetrahedral finite element; discrete maximum principle; reentrant corner; Fichera vertex; nonlinear heat conduction; partial differential equations; finite element method; path tetrahedron},
language = {eng},
number = {6},
pages = {569-581},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners},
url = {http://eudml.org/doc/33239},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Beilina, Larisa
AU - Korotov, Sergey
AU - Křížek, Michal
TI - Nonobtuse tetrahedral partitions that refine locally towards Fichera-like corners
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 6
SP - 569
EP - 581
AB - Linear tetrahedral finite elements whose dihedral angles are all nonobtuse guarantee the validity of the discrete maximum principle for a wide class of second order elliptic and parabolic problems. In this paper we present an algorithm which generates nonobtuse face-to-face tetrahedral partitions that refine locally towards a given Fichera-like corner of a particular polyhedral domain.
LA - eng
KW - partial differential equations; finite element method; path tetrahedron; linear tetrahedral finite element; discrete maximum principle; reentrant corner; Fichera vertex; nonlinear heat conduction; partial differential equations; finite element method; path tetrahedron
UR - http://eudml.org/doc/33239
ER -

References

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