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Composite Laguerre-Legendre Spectral Method for Fourth-Order Exterior Problems

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Abstract

In this paper, we investigate composite Laguerre-Legendre spectral method for fourth-order exterior problems. Some results on composite Laguerre-Legendre approximation are established, which is a set of piecewise mixed approximations coupled with domain decomposition. These results play an important role in spectral method for fourth-order exterior problems with rectangle obstacle. As examples of applications, composite spectral schemes are provided for two model problems, with convergence analysis. Efficient algorithms are implemented. Numerical results demonstrate their high accuracy, and confirm theoretical analysis well.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China

    Ben-Yu Guo

  2. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai, China

    Ben-Yu Guo

  3. Computational Division of Computational Science of E-Institute of Shanghai Universities, Shanghai, China

    Ben-Yu Guo

  4. Department of Mathematics and Physics, Henan University of Science and Technology, LuoYang, 471003, China

    Tian-Jun Wang

Authors
  1. Ben-Yu Guo
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  2. Tian-Jun Wang
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Correspondence to Ben-Yu Guo.

Additional information

The work of B.-Y. Guo is supported in part by NSF of China, N. 10871131, The Science and Technology Commission of Shanghai Municipality, Grant N. 75105118, The Shanghai Leading Academic Discipline Project N. S30405, and The Fund for E-institutes of Shanghai Universities N. E03004.

The work of T.-J. Wang is supported in part by NSF of China N. 10871131 and The Doctor Fund of Henan University of Science and Technology N. 09001263.

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Guo, BY., Wang, TJ. Composite Laguerre-Legendre Spectral Method for Fourth-Order Exterior Problems. J Sci Comput 44, 255–285 (2010). https://doi.org/10.1007/s10915-010-9367-0

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  • DOI: https://doi.org/10.1007/s10915-010-9367-0

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