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A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem

A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem
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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.

Author Details

Weiwei Wang

Chuanju Xu

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