Geodesic
Convergence of dual finite element approximations for unilateral boundary value problems
Applications of Mathematics, Tome 25 (1980) no. 5, pp. 375-386.

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A semi-coercive problem with unilateral boundary conditions of the Signoriti type in a convex polygonal domain is solved on the basis of a dual variational approach. Whereas some strong regularity of the solution has been assumed in the previous author's results on error estimates, no assumption of this kind is imposed here and still the $L^2$-convergence is proved.
DOI : 10.21136/AM.1980.103872
Classification : 35J05, 65N30, 74A55, 74M15
Keywords: dual finite element approximations; unilateral boundary value problems; convergence 
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     author = {Hlav\'a\v{c}ek, Ivan},
     title = {Convergence of dual finite element approximations for unilateral boundary value problems},
     journal = {Applications of Mathematics},
     pages = {375--386},
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Hlaváček, Ivan. Convergence of dual finite element approximations for unilateral boundary value problems. Applications of Mathematics, Tome 25 (1980) no. 5, pp. 375-386. doi : 10.21136/AM.1980.103872. http://geodesic.mathdoc.fr/articles/10.21136/AM.1980.103872/

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