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

Voir la notice de l'article dans Numdam

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
Mots-clés : Richard's equation, convection-diffusion, parabolic variational inequalities 
@article{M2AN_2003__37_3_417_0,
     author = {Kacur, Jozef and Keer, Roger Van},
     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},
     zbl = {1033.65049},
     mrnumber = {1994310},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003035/}
}
TY  - JOUR
AU  - Kacur, Jozef
AU  - Keer, Roger Van
TI  - Solution of degenerate parabolic variational inequalities with convection
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2003
SP  - 417
EP  - 431
VL  - 37
IS  - 3
PB  - EDP-Sciences
UR  - https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003035/
DO  - 10.1051/m2an:2003035
LA  - en
ID  - M2AN_2003__37_3_417_0
ER  - 
%0 Journal Article
%A Kacur, Jozef
%A Keer, Roger Van
%T Solution of degenerate parabolic variational inequalities with convection
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2003
%P 417-431
%V 37
%N 3
%I EDP-Sciences
%U https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003035/
%R 10.1051/m2an:2003035
%G en
%F M2AN_2003__37_3_417_0
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. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003035/

Cité par Sources :