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$L^{\infty}$-error estimate of a generalized parallel Schwarz algorithm for elliptic quasi-variational inequalities related to impulse control problem

Article scientifique 2023 Anglais

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Abstract The generalized Schwarz algorithm for a class of elliptic quasi-variational inequalities related to impulse control problems is studied in this paper. The principal result is to prove the error estimate in $L^{\infty}$ L ∞ -norm for m subdomains with overlapping nonmatching grids. This approach combines the geometrical convergence and the uniform convergence.

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BOUZOUALEGH, I., Saadi, S. (2023). $L^{\infty}$-error estimate of a generalized parallel Schwarz algorithm for elliptic quasi-variational inequalities related to impulse control problem. https://doi.org/10.1186/s13660-022-02909-7

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