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Spherical Harmonic–Generalized Laguerre Spectral Method for Exterior Problems

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Abstract

In this paper, we propose the mixed spherical harmonic-generalized Laguerre spectral method for three-dimensional exterior problems. Some approximation results are established. As an example, a model problem is considered. The convergence of proposed scheme is proved. Numerical results demonstrate the efficiency of this approach.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Maritime University, Shanghai, 200135, China

    Zhang Xiao-yong

  2. Department of Mathematics of Shanghai Normal University and Division of Computational Science of E-institute of Shanghai Universities, Guilin Road 100, Shanghai, 200234, China

    Guo Ben-yu

Authors
  1. Zhang Xiao-yong
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  2. Guo Ben-yu
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Correspondence to Guo Ben-yu.

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Xiao-yong, Z., Ben-yu, G. Spherical Harmonic–Generalized Laguerre Spectral Method for Exterior Problems. J Sci Comput 27, 523–537 (2006). https://doi.org/10.1007/s10915-005-9056-6

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  • DOI: https://doi.org/10.1007/s10915-005-9056-6

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