Weak discrete maximum principles
Archivum mathematicum, Tome 41 (2005) no. 2, pp. 167-173 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
We introduce weak discrete maximum principles for matrix equations associated with some elliptic problems. We also give an example on discrete maximum principles.
Classification : 35B50, 35J15, 35J25, 39A12
Keywords: maximum principles; differential equations
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Al-Mahameed, Mohammad Mujalli. Weak discrete maximum principles. Archivum mathematicum, Tome 41 (2005) no. 2, pp. 167-173. http://geodesic.mathdoc.fr/item/ARM_2005_41_2_a4/

[1] Ciarlet P. G.: Discrete maximum principles for finite difference operators. Aequationes Math. 4 (1970), 336–352. | MR

[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. | MR | Zbl

[3] Gilbarg D., Trudinger N. S.: Elliptic partial differential equations of second order. Springer, New York, 1983. | MR | Zbl

[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. | MR | Zbl

[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

[6] Al-Mahameed M. M.: A discrete maximum principle. Far East J. Appl. Math. 5 (3) (2001), 309–315. | MR | Zbl

[7] Greenspan D.: Introductory numerical analysis of elliptic boundary value problems. Harper and Row, New York (1965). | MR | Zbl