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Solution of degenerate parabolic variational inequalities withconvection
Jozef Kacur, Roger Van Keer
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 37 / Issue 3 / May 2003

Published online by Cambridge University Press:

15 April 2004, pp. 417-431

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May 2003
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Degenerate parabolic variational inequalities with convection are solved bymeans of a combined relaxation method and method of characteristics. Themathematical problem is motivated by Richard's equation, modelling theunsaturated – saturated flow in porous media. By means of the relaxationmethod we control the degeneracy. The dominance of the convection iscontrolled by the method of characteristics.

Solution of contaminant transport with adsorptionin porous media by the method of characteristics
Jozef Kacur, Roger Van Keer
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 35 / Issue 5 / September 2001

Published online by Cambridge University Press:

15 April 2002, pp. 981-1006

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September 2001
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A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.

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2 results

Solution of degenerate parabolic variational inequalities withconvection

Solution of contaminant transport with adsorptionin porous media by the method of characteristics