no. 3
Solution of degenerate parabolic variational inequalities with convection
ESAIM: Modélisation mathématique et analyse numérique, Tome 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
Mots clés : Richard's equation, convection-diffusion, parabolic variational inequalities 
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     title = {Solution of degenerate parabolic variational inequalities with convection},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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     volume = {37},
     number = {3},
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Kacur, Jozef; Keer, Roger Van. Solution of degenerate parabolic variational inequalities with convection. ESAIM: Modélisation mathématique et analyse numérique, Tome 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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