Solution of degenerate parabolic variational inequalities with convection

Jozef Kacur; Roger Van Keer

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 37, Issue: 3, page 417-431
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Kacur, Jozef, and Van Keer, Roger. "Solution of degenerate parabolic variational inequalities with convection." ESAIM: Mathematical Modelling and Numerical Analysis 37.3 (2010): 417-431. <http://eudml.org/doc/194171>.

@article{Kacur2010,
abstract = { 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. },
author = {Kacur, Jozef, Van Keer, Roger},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Richard's equation; convection-diffusion; parabolic variational inequalities.; convection-diffusion variational inequality; parabolic variational inequalities; method of characteristics; convergence},
language = {eng},
month = {3},
number = {3},
pages = {417-431},
publisher = {EDP Sciences},
title = {Solution of degenerate parabolic variational inequalities with convection},
url = {http://eudml.org/doc/194171},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Kacur, Jozef
AU - Van Keer, Roger
TI - Solution of degenerate parabolic variational inequalities with convection
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 37
IS - 3
SP - 417
EP - 431
AB - 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.
LA - eng
KW - Richard's equation; convection-diffusion; parabolic variational inequalities.; convection-diffusion variational inequality; parabolic variational inequalities; method of characteristics; convergence
UR - http://eudml.org/doc/194171
ER -

References

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