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

页码：85 / 110

页数：26

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