Weak discrete maximum principles

Mohammad Mujalli Al-Mahameed

Archivum Mathematicum (2005)

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

Abstract

top
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

top

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

top
  1. Ciarlet P. G., Discrete maximum principles for finite difference operators, Aequationes Math. 4 (1970), 336–352. (1970) MR0292317
  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 Δ u = b u 2 , 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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.