Optimal L∞-error estimate for the semilinear impulse control quasi-variational inequality

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Abstract

In this paper, we introduce a new method for the standard finite element approximation in the L∞-norm of the semilinear quasi-variational inequality (QVI)
arising in impulse control theory. We derive the optimal L∞-error estimate by
means of the concept of subsolutions for QVIs
Original languageEnglish
JournalMathematical Methods in the Applied Sciences
Publication statusPublished - 2021

Keywords

  • finite element, quasi-variational inequalities

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