Solution of degenerate parabolic variational inequalities with convection
Jozef Kacur, Roger Van Keer (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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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.