Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system

Author:

Cancès Clément,Ibrahim Moustafa,Saad Mazen

Publisher

Cellule MathDoc/CEDRAM

Subject

Computational Mathematics,Modeling and Simulation,Numerical Analysis,Statistics and Probability

Reference28 articles.

1. [1] Afif, M.; Amaziane, B. Convergence of finite volume schemes for a degenerate convection–diffusion equation arising in flow in porous media, Computer methods in applied mechanics and engineering, Volume 191 (2002) no. 46, pp. 5265-5286

2. [2] Agouzal, A.; Baranger, J.; Maitre, J-F; Oudin, F. Connection between finite volume and mixed finite element methods for a diffusion problem with nonconstant coefficients. Application to a convection diffusion problem, EAST WEST J NUMER MATH, Volume 3 (1995) no. 4, pp. 237-254

3. [3] Alt, H. W.; Luckhaus, S. Quasilinear elliptic-parabolic differential equations, Math. Z., Volume 183 (1983) no. 3, pp. 311-341

4. [4] Andreianov, B.; Bendahmane, M.; Saad, M. Finite volume methods for degenerate chemotaxis model, Journal of computational and applied mathematics, Volume 235 (2011) no. 14, pp. 4015-4031

5. [5] Andreianov, B.; Cancès, C.; Moussa, A. A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs (2015) (https://hal.archives-ouvertes.fr/hal-01142499/document)

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