Weak Galerkin method for the coupled Darcy-Stokes flow

被引：85

作者：

Chen, Wenbin ^{[1
]}

Wang, Fang ^{[2
]}

Wang, Yanqiu ^{[3
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2016年 / 36卷 / 02期

基金：

美国国家科学基金会;

关键词：

coupled Darcy-Stokes equation; weak Galerkin method; FINITE-ELEMENT-METHOD; FLUID-FLOW; BOUNDARY-CONDITION; NAVIER-STOKES; INTERFACE; JOSEPH; BEAVERS; MODEL; DISCRETIZATION; EQUATIONS;

D O I：

10.1093/imanum/drv012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of weak Galerkin finite element discretizations is developed for solving the coupled Darcy-Stokes equation. The equation in consideration admits the Beaver-Joseph-Saffman condition on the interface. By using the weak Galerkin approach, in the discrete space we are able to impose the normal continuity of velocity explicitly. In other words, strong coupling is achieved in the discrete space. Different choices of weak Galerkin finite element spaces are discussed, and error estimates are given.

引用

页码：897 / 921

页数：25