Geodesic
Galerkin's method of variable directions for parabolic obstacle variational inequalities
Mathematica Applicanda, Tome 11 (1983) no. 23, pp. 5-22.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Author introduction (translated from the Polish): "This paper is an attempt to extend Galerkin's variable directions method ADG, used in the solution of differential equations [see M. Dryja , same journal 15 (1979), 5–23; MR0549983; G. Fairweather , Finite element Galerkin methods for differential equations, Chapter 6, Dekker, New York, 1978; MR0495013] to inequalities. The numerical properties of the scheme of the ADG method are discussed using the example of the following variational problem: Find a function u:(0,T)→K⊂V⊂H such that: (u′+Au−f,v−u)H≥0 for all v∈K and almost all t in [0,T), u(0)=u0, where V and H are Hilbert spaces of functions defined on Ω. The problem studied in this paper is called a parabolic obstacle variational inequality. We restrict ourselves to problems with a symmetric operator A whose coefficients do not depend on the time variable."
DOI : 10.14708/ma.v11i23.1598
Classification : 49D15 (49A29 65L60)
Mots-clés : Methods of Newton-Raphson, Galerkin and Ritz types, Variational inequalities, Finite elements, Rayleigh-Ritz, Galerkin and collocation methods 
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Adam Zemła. Galerkin's method of variable directions for parabolic obstacle variational inequalities. Mathematica Applicanda, Tome 11 (1983) no. 23, pp.  5-22. doi : 10.14708/ma.v11i23.1598. http://geodesic.mathdoc.fr/articles/10.14708/ma.v11i23.1598/

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