L-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem |
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Authors: | Salah Boulaaras Mohamed Haiour |
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Institution: | a Institute of Hydrometeorological Formation and Research, BP. 7019 Seddikia, Oran 31025, Algeria b Department of Mathematics, Faculty of Science, University of Annaba, BP. 12 Annaba 23000, Algeria |
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Abstract: | In this paper, the parabolic quasi-variational inequalities are transformed into a noncoercive elliptic quasi-variational inequalities. A new iterative discrete algorithm is proposed to show the existence and uniqueness, and a simple proof to asymptotic behavior in uniform norm is also given using the theta time scheme combined with a finite element spatial approximation. The proposed approach stands on a discrete L∞-stability property with respect to the right-hand side and obstacle defined as an impulse control problem. |
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Keywords: | Impulse control problem Finite elements Fixed point Parabolic quasi-variational inequalities Stability analysis Asymptotic behavior |
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