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

作　　者：Weiwei Wang Chuanju Xu 

机构地区：[1]School of Mathematical Sciences,Xiamen University,361005 Xiamen,China

出　　处：《Journal of Mathematical Study》2014年第1期85-110,共26页数学研究（英文）

基　　金：This work is partially supported by NSF of China(Grant numbers 11071203 and 91130002).

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.

关 键 词：A posteriori error Stokes/Darcy coupled equations Spectralmethod Spectral element method 

分 类 号：O17[理学—数学]