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Volume 5, Issue 2-4
Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems

Tian-Jun Wang & Ben-Yu Guo

Commun. Comput. Phys., 5 (2009), pp. 350-375.

Published online: 2009-02

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  • 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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@Article{CiCP-5-350, author = {Tian-Jun Wang and Ben-Yu Guo}, title = {Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems}, journal = {Communications in Computational Physics}, year = {2009}, volume = {5}, number = {2-4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7736.html} }
TY - JOUR T1 - Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems AU - Tian-Jun Wang & Ben-Yu Guo JO - Communications in Computational Physics VL - 2-4 SP - 350 EP - 375 PY - 2009 DA - 2009/02 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7736.html KW - AB -

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.

Tian-Jun Wang and Ben-Yu Guo. (2009). Composite Laguerre-Legendre Pseudospectral Method for Exterior Problems. Communications in Computational Physics. 5 (2-4). 350-375. doi:
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