Weak discrete maximum principles

Mohammad Mujalli Al-Mahameed

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 2, page 167-173
  • ISSN: 0044-8753

Abstract

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We introduce weak discrete maximum principles for matrix equations associated with some elliptic problems. We also give an example on discrete maximum principles.

How to cite

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Al-Mahameed, Mohammad Mujalli. "Weak discrete maximum principles." Archivum Mathematicum 041.2 (2005): 167-173. <http://eudml.org/doc/249489>.

@article{Al2005,
abstract = {We introduce weak discrete maximum principles for matrix equations associated with some elliptic problems. We also give an example on discrete maximum principles.},
author = {Al-Mahameed, Mohammad Mujalli},
journal = {Archivum Mathematicum},
keywords = {maximum principles; differential equations; differential equations; bounded domain; system of algebraic linear equations},
language = {eng},
number = {2},
pages = {167-173},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Weak discrete maximum principles},
url = {http://eudml.org/doc/249489},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Al-Mahameed, Mohammad Mujalli
TI - Weak discrete maximum principles
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 2
SP - 167
EP - 173
AB - We introduce weak discrete maximum principles for matrix equations associated with some elliptic problems. We also give an example on discrete maximum principles.
LA - eng
KW - maximum principles; differential equations; differential equations; bounded domain; system of algebraic linear equations
UR - http://eudml.org/doc/249489
ER -

References

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  2. Ciarlet P. G., Raviart P. A., Maximum principle and uniform convergence for the finite element method, Comput. Methods Appl. Mech. Engrg. 2 (1973), 17–31. (1973) Zbl0251.65069MR0375802
  3. Gilbarg D., Trudinger N. S., Elliptic partial differential equations of second order, Springer, New York, 1983. (1983) Zbl0562.35001MR0737190
  4. Ishihara K., On finite element schemes of the Dirichlet problem for a system of nonlinear elliptic equations, Numer. Funct. Anal. Optim. 3 (1981), 105–136. (1981) Zbl0469.65071MR0619817
  5. Ishihara K., Finite element approximations applied to the nonlinear boundary value problem , Publ. Res. Inst. Math. Sci. 18 (1982), 17–34. (1982) MR0660820
  6. Al-Mahameed M. M., A discrete maximum principle, Far East J. Appl. Math. 5 (3) (2001), 309–315. Zbl1112.35305MR1863764
  7. Greenspan D., Introductory numerical analysis of elliptic boundary value problems, Harper and Row, New York (1965). (1965) Zbl0132.36602MR0179956

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