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The Boundary Element Spectral Method and Applications in 3-D Viscous Hydrodynamics

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Boundary Elements VIII

Part of the book series: Boundary Elements ((BOUNDARY,volume 8))

Abstract

Recently, boundary element methods have found dramatically increasing interest for the numerical treatment of a large variety of problems arising in the engineering sciences (e.g. Brebbia et al.3). They serve as highly efficient but slightly specialized numerical methods. Hence a strong line of research is to combine boundary element methods with other well experienced methods in order to optimize their specific (often complementary) advantages. This has been successfully done mixing boundary elements and finite elements (Zienkiewicz, Kelly and Bettess13; Johnson and Nedelec9; Wendland12; Hsiao and Porter8). A different combination which seems to be even more advantageous under certain circumstances is that of boundary elements and fast spectral methods (Hebeker6; Borchers, Hebeker and Rautmann2). This hybrid approach, called boundary element spectral method, is briefly described in the present note.

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References

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Borchers, W., Hebeker, F.K. (1986). The Boundary Element Spectral Method and Applications in 3-D Viscous Hydrodynamics. In: Tanaka, M., Brebbia, C.A. (eds) Boundary Elements VIII. Boundary Elements, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22335-2_28

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  • DOI: https://doi.org/10.1007/978-3-662-22335-2_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22337-6

  • Online ISBN: 978-3-662-22335-2

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