@Article{JCM-24-451,
author = {Sang Dong Kim and Byeong Chun Shin},
title = {Chebyshev Weighted Norm Least-Squares Spectral Methods for the Elliptic Problem},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {4},
pages = {451--462},
abstract = {<p style="text-align: justify;">We develop and analyze a first-order system least-squares spectral method for the second-order elliptic boundary value problem with variable coefficients. We first analyze the Chebyshev weighted norm least-squares functional defined by the sum of the $L^2_w$- and $H^{-1}_w$-norm of the residual equations and then we replace the negative norm by the discrete negative norm and analyze the discrete Chebyshev weighted least-squares method. The spectral convergence is derived for the proposed method. We also present various numerical experiments. The Legendre weighted least-squares method can be easily developed by following this paper. &nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8766.html}
}