H(div) conforming finite element methods for the coupled Stokes and Darcy problem

被引：9

作者：

Chen, Yumei ^{[2
]}

Huang, Feiteng ^{[1
]}

Xie, Xiaoping ^{[1
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

[2] China W Normal Univ, Coll Math & Informat, Nanchong 637009, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 15期

关键词：

Mixed finite element; H(div) conforming; Coupled Stokes and Darcy problem; Error estimate; POROUS-MEDIA FLOW; FLUID-FLOW; EQUATIONS;

D O I：

10.1016/j.cam.2011.03.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes and analyzes a numerical method for solving the coupled Stokes and Darcy problem, an interface problem between a fluid, governed by Stokes equations, and a flow in a porous medium, governed by Darcy equations. The method employs H(div) conforming finite elements for the velocity field in both Stokes and Darcy subdomains. Optimal-order error estimates are established. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：4337 / 4349

页数：13

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