Volume 7, Issue 2
The a Posteriori Error Estimates for Chebyshev-Galerkin SpectralMethods in One Dimension

Jianwei Zhou

10.4208/aamm.2013.m193

Adv. Appl. Math. Mech., 7 (2015), pp. 145-157.

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  • Abstract

In this paper, the Chebyshev-Galerkin spectral approximations are employed to investigate Poisson equations and the fourth order equations in one dimension.Meanwhile, p-version finite element methods with Chebyshev polynomials are utilized to solve Poisson equations. The efficient and reliable a posteriori error estimators are given for different models. Furthermore, the a priori error estimators are derived independently. Some numerical experiments are performed to verify the theoretical analysis for the a posteriori error indicators and a priori error estimations.


  • History

Published online: 2018-05

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