An improved a posteriori error estimate for the Galerkin spectral method in one dimension

作者：Zhou, Jianwei; Yang, Danping^*

来源：Computers & Mathematics with Applications, 2011, 61(2): 334-340.

DOI：10.1016/j.camwa.2010.11.008

• Improved a posteriori error indicator
• Galerkin spectral method

In Guo (2005) [9], the a posteriori error estimators for Galerkin spectral methods and p-version finite element methods in the one-dimensional case and their analysis as regards reliable and efficient properties were given. In this paper, some improved a posteriori error estimators are proposed which have simpler forms than the ones given in [9], and so can be easily calculated in practical applications. In particular, these a posteriori error estimates are independent of any information about solutions of Galerkin spectral methods or p-version finite element methods, and are determined solely by the known right-hand side term. It is proved that these a posteriori error estimators have the same reliability and efficiency as the ones in [9].

• 出版日期2011-1
• 单位华东师范大学