A Discontinuous Finite Volume Method for the Darcy-Stokes Equations

Zhe Yin, Ziwen Jiang and Qiang Xu

Journal of Applied Mathematics, 2012, vol. 2012, 1-16

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 -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:761242

DOI: 10.1155/2012/761242

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