Superconvergence analysis of FEMs for the Stokes-Darcy system

被引：32
作者：
Chen, Wenbin [1 ]
Chen, Puying [2 ]
Gunzburger, Max [3 ]
Yan, Ningning [4 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
[3] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA
[4] Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Stokes and Darcy equations; superconvergence; Hood-Taylor element; INTERFACE BOUNDARY-CONDITION; MILDLY STRUCTURED GRIDS; COUPLING FLUID-FLOW; POROUS-MEDIA FLOW; CONSTANT SCHEME; EQUATIONS; ELEMENTS; BEAVERS; JOSEPH; MODELS;
D O I：
10.1002/mma.1279
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a superconvergence analysis for quadratic finite element approximations of the Stokes-Darcy system. The superclose property of an extra half order is proven for uniform triangular meshes. Based on the result of the superclose property, global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码：1605 / 1617
页数：13
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