Abstract
This paper is devoted to analyse new meshless methods. They generalize classical weighted particle methods for conservation laws. We prove that they can be both conservative and consistent. We obtain convergence of the methods in scalar case with the only requirement that the ratio of the smoothing length (or size of the cut-off) to the characteristic size of the mesh be bounded. Applications for Euler equations are proposed.
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© 1999 Springer Basel AG
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Moussa, B.B., Lanson, N., Vila, J.P. (1999). Convergence of Meshless Methods for Conservation Laws Applications to Euler equations. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_4
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DOI: https://doi.org/10.1007/978-3-0348-8720-5_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9742-6
Online ISBN: 978-3-0348-8720-5
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