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

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

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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ژورنال

عنوان ژورنال: Mathematics of Computation

سال: 2004

ISSN: 0025-5718

DOI: 10.1090/s0025-5718-04-01652-7