A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem
Year: 2014
Author: Weiwei Wang, Chuanju Xu
Journal of Mathematical Study, Vol. 47 (2014), Iss. 1 : pp. 85–110
Abstract
In this paper, we carry out an a posteriori error analysis of Legendre spectral approximations to the Stokes/Darcy coupled equations. The spectral approximations are based on a weak formulation of the coupled equations by using the Beavers-Joseph-Saffman interface condition. The main contribution of the paper consists of deriving a number of posteriori error indicators and their upper and lower bounds for the single domain case. An extension of the upper bounds to the multi-domain case in the spectral element framework is also given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v47n1.14.05
Journal of Mathematical Study, Vol. 47 (2014), Iss. 1 : pp. 85–110
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: A posteriori error Stokes/Darcy coupled equations Spectral method Spectral element method.