A Discontinuous Finite Volume Method for the Darcy‐Stokes Equations

Zhe Yin, Ziwen Jiang and Qiang Xu

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: This paper proposes a discontinuous finite volume method for the Darcy‐Stokes equations. An optimal error estimate for the approximation of velocity is obtained in a mesh‐dependent norm. First‐order L2‐error estimates are derived for the approximations of both velocity and pressure. Some numerical examples verifying the theoretical predictions are presented.

Date: 2012
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https://doi.org/10.1155/2012/761242

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:761242

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