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On the Finite Element Approximation of the Impulse Control Quasivariational Inequality

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Abstract

In this paper, we develop a new approach for the standard finite element approximation in the maximum norm for the impulse control quasivariational inequality. We establish the optimal convergence order combining the Bensoussan–Lions algorithm and the concepts of subsolution and discrete.

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Correspondence to Messaoud Boulbrachene .

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Boulbrachene, M. (2015). On the Finite Element Approximation of the Impulse Control Quasivariational Inequality. In: Siddiqi, A., Manchanda, P., Bhardwaj, R. (eds) Mathematical Models, Methods and Applications. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-287-973-8_7

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