On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary

Sergey Korotov; Michal Křížek; Pekka Neittaanmäki

Applications of Mathematics (1999)

  • Volume: 44, Issue: 1, page 33-42
  • ISSN: 0862-7940

Abstract

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In this note we present an algorithm for a construction of strongly regular families of triangulations for planar domains with a piecewise curved boundary. Some additional properties of the resulting triangulations are considered.

How to cite

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Korotov, Sergey, Křížek, Michal, and Neittaanmäki, Pekka. "On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary." Applications of Mathematics 44.1 (1999): 33-42. <http://eudml.org/doc/33025>.

@article{Korotov1999,
abstract = {In this note we present an algorithm for a construction of strongly regular families of triangulations for planar domains with a piecewise curved boundary. Some additional properties of the resulting triangulations are considered.},
author = {Korotov, Sergey, Křížek, Michal, Neittaanmäki, Pekka},
journal = {Applications of Mathematics},
keywords = {strongly regular family; triangulation; planar domain; triangulation; strongly regular family; planar domain},
language = {eng},
number = {1},
pages = {33-42},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary},
url = {http://eudml.org/doc/33025},
volume = {44},
year = {1999},
}

TY - JOUR
AU - Korotov, Sergey
AU - Křížek, Michal
AU - Neittaanmäki, Pekka
TI - On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary
JO - Applications of Mathematics
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 44
IS - 1
SP - 33
EP - 42
AB - In this note we present an algorithm for a construction of strongly regular families of triangulations for planar domains with a piecewise curved boundary. Some additional properties of the resulting triangulations are considered.
LA - eng
KW - strongly regular family; triangulation; planar domain; triangulation; strongly regular family; planar domain
UR - http://eudml.org/doc/33025
ER -

References

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  8. Linear finite elements with high accuracy, J. Comput. Math. 3 (1985), 115–133. (1985) MR0854355
  9. Automatic triangulation of domains with smooth boundaries for solving equations of the elliptic type, Preprint of Computer Center, 15, Novosibirsk, 1975, (in Russian). (1975) 
  10. 10.1016/0001-8708(69)90009-7, Adv. in Math. 3 (1969), 510–585. (1969) Zbl0192.49101MR0298508DOI10.1016/0001-8708(69)90009-7
  11. 10.1090/S0025-5718-1975-0375068-5, Math. Comp. 29 (1975), 390–395. (1975) MR0375068DOI10.1090/S0025-5718-1975-0375068-5
  12. 10.1137/0710022, SIAM J. Numer. Anal. 10 (1973), 229–240. (1973) MR0395263DOI10.1137/0710022

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