Error analysis for a monolithic discretization of coupled Darcy and Stokes problems

نویسندگان

  • Vivette Girault
  • Guido Kanschat
  • Béatrice Rivière
چکیده

The coupled Stokes and Darcy equations are approximated by a strongly conservative finite element method. The discrete spaces are the divergence-conforming velocity space with matching pressure space such as the Raviart-Thomas spaces. This work proves optimal error estimate of the velocity in the L2 norm in the domain and on the interface under weak regularity assumptions.

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عنوان ژورنال:
  • J. Num. Math.

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2014