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Finite Element Methods for Coupled Stokes and Darcy Problems

Finite Element Methods for Coupled Stokes and Darcy Problems
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摘要 We derived and analyzed a new numerical scheme for the coupled Stokes and Darcy problems by using H（div） conforming elements in the entire domain. The approach employs the mixed finite element method for the Darcy equations and a stabilized H（div） finite element method for the Stokes equations. Optimal error estimates for the fluid velocity and pressure are derived. The finite element solutions from the new scheme not only feature a full satisfaction of the continuity equation, which is highly demanded in scientific computing, but also satisfy the mass conservation. We derived and analyzed a new numerical scheme for the coupled Stokes and Darcy problems by using H（div） conforming elements in the entire domain. The approach employs the mixed finite element method for the Darcy equations and a stabilized H（div） finite element method for the Stokes equations. Optimal error estimates for the fluid velocity and pressure are derived. The finite element solutions from the new scheme not only feature a full satisfaction of the continuity equation, which is highly demanded in scientific computing, but also satisfy the mass conservation.
作者 梁涛 冯民富 祁瑞生
机构地区 Department of Mathematics Department of Mathematics
出处 《Journal of Southwest Jiaotong University(English Edition)》 2009年第3期265-270,共6页 西南交通大学学报（英文版）
基金 The Key Technologies R&D Program ofSichuan Province (No.05GG006-0062)
关键词 Finite element method Mass conservation Beavers-Joseph-Saffman condition Stockes and Darcy problems Finite element method Mass conservation Beavers-Joseph-Saffman condition Stockes and Darcy problems
分类号 O241.82 [理学—计算数学]
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参考文献10

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Journal of Southwest Jiaotong University(English Edition)
2009年 第3期

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