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

被引：5
|
作者：
Wang, Weiwei [1 ]
Xu, Chuanju [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2014年 / 47卷 / 01期
关键词：
A posteriori error; Stokes/Darcy coupled equations; Spectral method; Spectral element method;
D O I：
10.4208/jms.v47n1.14.05
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 aweak 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.
引用
收藏
页码：85 / 110
页数：26
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