Numerical approximation of relaxed variational problems.
Roubíček, T. (1996)
Journal of Convex Analysis
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Roubíček, T. (1996)
Journal of Convex Analysis
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Alain Damlamian (1985)
Banach Center Publications
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Noor, Muhammad Aslam (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Qiya Hu, Dehao Yu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration...
Noor, Muhammed Aslam (1991)
International Journal of Mathematics and Mathematical Sciences
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H. Brézis, G. Stampacchia (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Noor, Muhammad Aslam (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Alexander Kaplan, Rainer Tichatschke (1997)
Applications of Mathematics
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In this paper new methods for solving elliptic variational inequalities with weakly coercive operators are considered. The use of the iterative prox-regularization coupled with a successive discretization of the variational inequality by means of a finite element method ensures well-posedness of the auxiliary problems and strong convergence of their approximate solutions to a solution of the original problem. In particular, regularization on the kernel of the differential operator and...