Geodesic
Application of relaxation scheme to degenerate variational inequalities
Applications of Mathematics, Tome 46 (2001) no. 6, pp. 419-437 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
DOI : 10.1023/A:1013712628500
Classification : 35K85, 35R35, 49J40, 65K10, 65N22
Keywords: degenerate variational inequalities; numerical solution of variational inequalities; free boundary problem; oxygen diffusion problem 
@article{10_1023_A:1013712628500,
     author = {Babu\v{s}{\'\i}kov\'a, Jela},
     title = {Application of relaxation scheme to degenerate variational inequalities},
     journal = {Applications of Mathematics},
     pages = {419--437},
     year = {2001},
     volume = {46},
     number = {6},
     doi = {10.1023/A:1013712628500},
     mrnumber = {1865515},
     zbl = {1061.49004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1013712628500/}
}
TY  - JOUR
AU  - Babušíková, Jela
TI  - Application of relaxation scheme to degenerate variational inequalities
JO  - Applications of Mathematics
PY  - 2001
SP  - 419
EP  - 437
VL  - 46
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1013712628500/
DO  - 10.1023/A:1013712628500
LA  - en
ID  - 10_1023_A:1013712628500
ER  - 
%0 Journal Article
%A Babušíková, Jela
%T Application of relaxation scheme to degenerate variational inequalities
%J Applications of Mathematics
%D 2001
%P 419-437
%V 46
%N 6
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1013712628500/
%R 10.1023/A:1013712628500
%G en
%F 10_1023_A:1013712628500
Babušíková, Jela. Application of relaxation scheme to degenerate variational inequalities. Applications of Mathematics, Tome 46 (2001) no. 6, pp. 419-437. doi: 10.1023/A:1013712628500

Cité par Sources :