@Article{JMS-47-85,
author = {Wang , Weiwei and Xu , Chuanju},
title = {A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem},
journal = {Journal of Mathematical Study},
year = {2014},
volume = {47},
number = {1},
pages = {85--110},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v47n1.14.05},
url = {http://global-sci.org/intro/article_detail/jms/10113.html}
}