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- W2208475935 abstract "This work is devoted to the convergence analysis of the implicit upwind finite volume scheme for the initial and boundary value problem associated to the linear transport equation in any dimension, on general unstructured meshes. We are particularly concerned with the case where the initial and boundary data are in L ∞ and the advection vector field v has low regularity properties, namely v ∈ L 1(]0, T[, (W 1, 1(Ω)) d ), with suitable assumptions on its divergence. We prove strong convergence in L ∞ (]0, T[, L p (Ω)) with p < + ∞, of the approximate solution towards the unique weak solution of the problem as well as the strong convergence of its trace." @default.
- W2208475935 created "2016-06-24" @default.
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- W2208475935 date "2011-01-01" @default.
- W2208475935 modified "2023-09-27" @default.
- W2208475935 title "Convergence Analysis of the Upwind Finite Volume Scheme for General Transport Problems" @default.
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- W2208475935 doi "https://doi.org/10.1007/978-3-642-20671-9_17" @default.
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