Geodesic
Solution of degenerate parabolic variational inequalities with convection
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 3, pp. 417-431

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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.

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},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {417--431},
     publisher = {EDP-Sciences},
     volume = {37},
     number = {3},
     year = {2003},
     doi = {10.1051/m2an:2003035},
     mrnumber = {1994310},
     zbl = {1033.65049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2003035/}
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Kacur, Jozef; Keer, Roger Van. Solution of degenerate parabolic variational inequalities with convection. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 3, pp. 417-431. doi: 10.1051/m2an:2003035

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