On The Finite Element Approximation of Variational Inequalities with Noncoercive Operators |
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| Authors: | Messaoud Boulbrachene |
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| Institution: | 1. Department of Mathematics and Statistics , Sultan Qaboos University , Muscat , Oman boulbrac@squ.edu.om |
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| Abstract: | In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L ∞ error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions. |
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| Keywords: | Bensoussan-Lions algorithm Finite elements L ∞-error estimate Subsolution Variational inequalities |
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