Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00211-004-0554-5.pdf
Reference23 articles.
1. Ancona, M.: Diffusion-drift models of strong inversion layers. COMPEL 6, 11?18 (1987)
2. Ben Abdallah, N., Unterreiter, A.: On the stationary quantum drift-diffusion model. Z. Angew. Math. Phys. 49, 251?275 (1998)
3. Bertolazzi, E.: Discrete conservation and discrete maximum principle for elliptic PDEs. Math. Models Meth. Appl. Sci. 8, 685?711 (1998)
4. Burman, E., Ern, A.: Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation. Comput. Meth. Appl. Mech. Engin. 191, 3833?3855 (2002)
5. Christie, I., Hall, C.: The maximum principle for bilinear elements. Internat. J. Numer. Meth. Engin. 20, 549?553 (1984)
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