| Issue |
ESAIM: M2AN
Volume 37, Number 3, May-June 2003
|
|
|---|---|---|
| Page(s) | 417 - 431 | |
| DOI | https://doi.org/10.1051/m2an:2003035 | |
| Published online | 15 April 2004 | |
Solution of degenerate parabolic variational inequalities with convection
1
Faculty of Mathematics, Physics and Informatics, Comenius University Mlynská dolina, 84248 Bratislava, Slovakia. kacur@fmph.uniba.sk.
2
Ghent University, Department of Mathematical Analysis,
Galglaan 2, 9000 Gent, Belgium. rvk@cage.rug.ac.be.
Received:
1
February
2002
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.
Mathematics Subject Classification: 65M25 / 65M12
Key words: Richard's equation / convection-diffusion / parabolic variational inequalities.
© EDP Sciences, SMAI, 2003
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