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A Discontinuous Finite Volume Method for the Darcy-Stokes Equations

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  • Zhe Yin
  • Ziwen Jiang
  • Qiang Xu

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.

Suggested Citation

  • Zhe Yin & Ziwen Jiang & Qiang Xu, 2012. "A Discontinuous Finite Volume Method for the Darcy-Stokes Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, December.
    • Handle: RePEc:hin:jnljam:761242
    DOI: 10.1155/2012/761242
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