Journal of Scientific Computing

, Volume 44, Issue 3, pp 255–285

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


    • Department of MathematicsShanghai Normal University
    • Scientific Computing Key Laboratory of Shanghai Universities
    • Computational Division of Computational Science of E-Institute of Shanghai Universities
  • Tian-Jun Wang
    • Department of Mathematics and PhysicsHenan University of Science and Technology

DOI: 10.1007/s10915-010-9367-0

Cite this article as:
Guo, B. & Wang, T. J Sci Comput (2010) 44: 255. doi:10.1007/s10915-010-9367-0


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.


Composite Laguerre-Legendre approximationSpectral method for fourth order exterior problems

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© Springer Science+Business Media, LLC 2010