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- W4385965761 abstract "In this paper, we develop an enhanced version of the catching-up algorithm for sweeping processes through an appropriate concept of approximate projections. We establish some properties of this notion of approximate projection. Then, under suitable assumptions, we show the convergence of the enhanced catching-up algorithm for prox-regular, subsmooth, and merely closed sets. Finally, we discuss efficient numerical methods for obtaining approximate projections. Our results recover classical existence results in the literature and provide new insight into the numerical simulation of sweeping processes." @default.
- W4385965761 created "2023-08-18" @default.
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- W4385965761 date "2023-08-15" @default.
- W4385965761 modified "2023-09-23" @default.
- W4385965761 title "Catching-up Algorithm with Approximate Projections for Moreau's Sweeping Processes" @default.
- W4385965761 doi "https://doi.org/10.48550/arxiv.2308.08093" @default.
- W4385965761 hasPublicationYear "2023" @default.
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