Convergence order of a numerical scheme for sweeping process (Q2862459)

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scientific article; zbMATH DE number 6227457
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Convergence order of a numerical scheme for sweeping process
scientific article; zbMATH DE number 6227457

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    15 November 2013
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    differential inclusions
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    subdifferential calculus
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    prediction-correction algorithm
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    convergence
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    inequality constraints
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    Convergence order of a numerical scheme for sweeping process (English)
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    \textit{J. Venel} [Numer. Math. 118, No. 2, 367--400 (2011; Zbl 1222.65064)] has introduced an implementable algorithm to compute discrete solutions of sweeping processes. The authors prove that the convergence of this algorithm is of order \(\frac{1}{2}\). The considered sweeping process involves a set-valued map given by a finite number of inequality constraints.
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