Year: 2015
Author: Jianwei Zhou
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 2 : pp. 145–157
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m193
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 2 : pp. 145–157
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Author Details
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Error estimates of spectral Legendre–Galerkin methods for the fourth-order equation in one dimension
Chen, Yanping
Zhou, Jianwei
Applied Mathematics and Computation, Vol. 268 (2015), Iss. P.1217
https://doi.org/10.1016/j.amc.2015.06.082 [Citations: 13]