@Article{NMTMA-3-40, author = {}, 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 = {

In this paper, a-posteriori error estimators are proposed for the Legendre spectral Galerkin method for  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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2009.m9002}, url = {http://global-sci.org/intro/article_detail/nmtma/5988.html} }