@Article{NMTMA-3-40,
author = {Lijun Yi and Benqi Guo},
title = {A-Posteriori Error Estimation for the Legendre Spectral Galerkin Method in One-Dimension},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2010},
volume = {3},
number = {1},
pages = {40--52},
abstract = {<p style="text-align: justify;">In this paper, a-posteriori error estimators are proposed for the
Legendre spectral Galerkin method for &nbsp;two-point boundary value
problems. The key idea is to postprocess the Galerkin approximation,
and the analysis shows that the postprocess improves the order of
convergence. Consequently, we obtain asymptotically exact
a-posteriori error estimators based on the postprocessing results.
Numerical examples are included to illustrate the theoretical
analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2009.m9002},
url = {http://global-sci.org/intro/article_detail/nmtma/5988.html}
}