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L ∞ Error Estimate for the Noncoercive Impulse Control QVI: A New Approach

  • III. Numerical Methods
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In this paper, we introduce a new method to analyze the convergence of the standard finite element method for the noncoercive impulse control quasi-variational inequality (QVI). L ∞ convergence of the approximation is derived as a result of the geometrical convergence of a Bensoussan–Lions algorithm type and uniform error estimate between the continuous algorithm and its finite element counterpart. This approach is completely different from the one inroduced in [2] as it enables us to derive the error estimate through a computational iterative scheme.

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  1. Department of Mathematics, Sultan Qaboos University, P.O. Box, 36, Muscat, 123, Oman

    M. Boulbrachene

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  1. M. Boulbrachene
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Correspondence to M. Boulbrachene.

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Boulbrachene, M. L ∞ Error Estimate for the Noncoercive Impulse Control QVI: A New Approach. Comput Math Model 27, 489–496 (2016). https://doi.org/10.1007/s10598-016-9338-x

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  • DOI: https://doi.org/10.1007/s10598-016-9338-x

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