| Title:
|
Weak discrete maximum principles (English) |
| Author:
|
Al-Mahameed, Mohammad Mujalli |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
2005 |
| Pages:
|
167-173 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce weak discrete maximum principles for matrix equations associated with some elliptic problems. We also give an example on discrete maximum principles. (English) |
| Keyword:
|
maximum principles |
| Keyword:
|
differential equations |
| MSC:
|
35B50 |
| MSC:
|
35J15 |
| MSC:
|
35J25 |
| MSC:
|
39A12 |
| idZBL:
|
Zbl 1112.35034 |
| idMR:
|
MR2164666 |
| . |
| Date available:
|
2008-06-06T22:45:40Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107947 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/108060 |
| . |
| Reference:
|
[1] Ciarlet P. G.: Discrete maximum principles for finite difference operators.Aequationes Math. 4 (1970), 336–352. MR 0292317 |
| Reference:
|
[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. Zbl 0251.65069, MR 0375802 |
| Reference:
|
[3] Gilbarg D., Trudinger N. S.: Elliptic partial differential equations of second order.Springer, New York, 1983. Zbl 0562.35001, MR 0737190 |
| Reference:
|
[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. Zbl 0469.65071, MR 0619817 |
| Reference:
|
[5] Ishihara K.: Finite element approximations applied to the nonlinear boundary value problem $\Delta u = bu^{2}$.Publ. Res. Inst. Math. Sci. 18 (1982), 17–34. MR 0660820 |
| Reference:
|
[6] Al-Mahameed M. M.: A discrete maximum principle.Far East J. Appl. Math. 5 (3) (2001), 309–315. Zbl 1112.35305, MR 1863764 |
| Reference:
|
[7] Greenspan D.: Introductory numerical analysis of elliptic boundary value problems.Harper and Row, New York (1965). Zbl 0132.36602, MR 0179956 |
| . |
