Solution of degenerate parabolic variational inequalities with convection
ESAIM: Modélisation mathématique et analyse numérique, Volume 37 (2003) no. 3, pp. 417-431.

Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard's equation, modelling the unsaturated - saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method of characteristics.

DOI: 10.1051/m2an:2003035
Classification: 65M25, 65M12
Keywords: Richard's equation, convection-diffusion, parabolic variational inequalities
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     title = {Solution of degenerate parabolic variational inequalities with convection},
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Kacur, Jozef; Keer, Roger Van. Solution of degenerate parabolic variational inequalities with convection. ESAIM: Modélisation mathématique et analyse numérique, Volume 37 (2003) no. 3, pp. 417-431. doi : 10.1051/m2an:2003035. http://www.numdam.org/articles/10.1051/m2an:2003035/

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