Composite Laguerre-Legendre Spectral Method for Fourth-Order Exterior Problems
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- Guo, B. & Wang, T. J Sci Comput (2010) 44: 255. doi:10.1007/s10915-010-9367-0
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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.