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On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods

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Summary

The slow viscous flow past a spatial body with corners and edges is investigated mathematically and numerically by means of a boundary element method. For the resulting algebraic system a multigrid solver is designed and analyzed. Due to an improved bound on the rate of convergence it proves to be preferable to that introduced earlier for related problems. A numerical example illustrates some of the proposed methods.

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Hebeker, F.K. On the numerical treatment of viscous flows against bodies with corners and edges by boundary element and multigrid methods. Numer. Math. 52, 81–99 (1987). https://doi.org/10.1007/BF01401023

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