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• W2970980788 abstract "In this paper, we focus on finite volume approximation schemes to solve a non-local material flow model in two space dimensions. Based on the numerical discretisation with dimensional splitting, we prove the convergence of the approximate solutions, where the main difficulty arises in the treatment of the discontinuity occurring in the flux function. In particular, we compare a Roe-type scheme to the well-established Lax–Friedrichs method and provide a numerical study highlighting the benefits of the Roe discretisation. Besides, we also prove the L 1 -Lipschitz continuous dependence on the initial datum, ensuring the uniqueness of the solution." @default.
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• W2970980788 date "2020-03-01" @default.
• W2970980788 modified "2023-10-16" @default.
• W2970980788 title "Well-posedness of a non-local model for material flow on conveyor belts" @default.
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• W2970980788 doi "https://doi.org/10.1051/m2an/2019062" @default.
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