Volume 47, Issue 1
A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem

Weiwei Wang and Chuanju Xu

10.4208/jms.v47n1.14.05

J. Math. Study, 47 (2014), pp. 85-110.

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  • 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 sin- gle domain case. An extension of the upper bounds to the multi-domain case in the spectral element framework is also given.

  • History

Published online: 2014-03

  • AMS Subject Headings

35Q35, 76D03

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