Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems

Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems

Year:    2009

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 350–375

Abstract

In this paper, we propose a composite Laguerre-Legendre pseudospectral method for exterior problems with a square obstacle. Some results on the composite Laguerre-Legendre interpolation, which is a set of piecewise mixed interpolations coupled with domain decomposition, are established. As examples of applications, the composite pseudospectral schemes are provided for two model problems. The convergence of proposed schemes are proved. Efficient algorithms are implemented. Numerical results demonstrate the spectral accuracy in space of this new approach.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7736

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 350–375

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

Keywords: