A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems

نویسندگان

  • Vivette Girault
  • Béatrice Rivière
  • Mary F. Wheeler
چکیده

A family of discontinuous Galerkin finite element methods is formulated and analyzed for Stokes and Navier-Stokes problems. An inf-sup condition is established as well as optimal energy estimates for the velocity and L2 estimates for the pressure. In addition, it is shown that the method can treat a finite number of nonoverlapping domains with nonmatching grids at interfaces.

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عنوان ژورنال:
  • Math. Comput.

دوره 74  شماره 

صفحات  -

تاریخ انتشار 2005