-error analysis for a system of quasivariational inequalities with noncoercive operators.
Boulbrachene, Messaoud, Saadi, Samira (2006)
Journal of Inequalities and Applications [electronic only]
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Boulbrachene, Messaoud, Saadi, Samira (2006)
Journal of Inequalities and Applications [electronic only]
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Boulbrachene, Messaoud (2005)
Applied Mathematics E-Notes [electronic only]
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Boulbrachene, Messaoud (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Boulbrachene, M., Cortey-Dumont, P., Miellou, J.C. (2001)
International Journal of Mathematics and Mathematical Sciences
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Noor, Muhammad Aslam (1993)
International Journal of Mathematics and Mathematical Sciences
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Noor, M.Aslam (1981)
International Journal of Mathematics and Mathematical Sciences
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Boulbrachene, M., Haiour, M., Chentouf, B. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Aleš Prachař (2006)
Applications of Mathematics
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Discretization of second order elliptic partial differential equations by discontinuous Galerkin method often results in numerical schemes with penalties. In this paper we analyze these penalized schemes in the context of quite general triangular meshes satisfying only a semiregularity assumption. A new (modified) penalty term is presented and theoretical properties are proven together with illustrative numerical results.
Eric Boillat (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The present paper deals with a finite element approximation of partial differential equations when the domain is decomposed into sub-domains which are meshed independently. The method we obtain is never conforming because the continuity constraints on the boundary of the sub-domains are not imposed strongly but only penalized. We derive a selection rule for the penalty parameter which ensures a quasi-optimal convergence.