Volume 15, Issue 3
A spectral element/Laguerre coupled method to the elliptic Helmholtz problem on the half line

Q. Zhuang & C. Xu

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 193-208

Published online: 2006-08

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  • Abstract
A Legendre spectral element/Laguerre coupled method is proposed to numerically solve the elliptic Helmholtz problem on the half line. Rigorous analysis is carried out to establish the convergence of the method. Several numerical examples are provided to confirm the theoretical results. The advantage of this method is demonstrated by a numerical comparison with the pure Laguerre method.
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@Article{NM-15-193, author = {Q. Zhuang and C. Xu}, title = {A spectral element/Laguerre coupled method to the elliptic Helmholtz problem on the half line}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {3}, pages = {193--208}, abstract = { A Legendre spectral element/Laguerre coupled method is proposed to numerically solve the elliptic Helmholtz problem on the half line. Rigorous analysis is carried out to establish the convergence of the method. Several numerical examples are provided to confirm the theoretical results. The advantage of this method is demonstrated by a numerical comparison with the pure Laguerre method. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8027.html} }
TY - JOUR T1 - A spectral element/Laguerre coupled method to the elliptic Helmholtz problem on the half line AU - Q. Zhuang & C. Xu JO - Numerical Mathematics, a Journal of Chinese Universities VL - 3 SP - 193 EP - 208 PY - 2006 DA - 2006/08 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/8027.html KW - AB - A Legendre spectral element/Laguerre coupled method is proposed to numerically solve the elliptic Helmholtz problem on the half line. Rigorous analysis is carried out to establish the convergence of the method. Several numerical examples are provided to confirm the theoretical results. The advantage of this method is demonstrated by a numerical comparison with the pure Laguerre method.
Q. Zhuang and C. Xu. (2006). A spectral element/Laguerre coupled method to the elliptic Helmholtz problem on the half line. Numerical Mathematics, a Journal of Chinese Universities. 15 (3). 193-208. doi:
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