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.
@article{M2AN_2003__37_3_417_0,
author = {Kacur, Jozef and Keer, Roger Van},
title = {Solution of degenerate parabolic variational inequalities with convection},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {37},
year = {2003},
pages = {417-431},
doi = {10.1051/m2an:2003035},
mrnumber = {1994310},
zbl = {1033.65049},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2003__37_3_417_0}
}
Kacur, Jozef; Keer, Roger Van. Solution of degenerate parabolic variational inequalities with convection. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 37 (2003) pp. 417-431. doi : 10.1051/m2an:2003035. http://gdmltest.u-ga.fr/item/M2AN_2003__37_3_417_0/
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