Geodesic
Application of relaxation scheme to degenerate variational inequalities
Applications of Mathematics, Tome 46 (2001) no. 6, pp. 419-437.

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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 
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     author = {Babu\v{s}{\'\i}kov\'a, Jela},
     title = {Application of relaxation scheme to degenerate variational inequalities},
     journal = {Applications of Mathematics},
     pages = {419--437},
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     volume = {46},
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     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1013712628500/}
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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. http://geodesic.mathdoc.fr/articles/10.1023/A:1013712628500/

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