Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem

Guzmán, J.

doi:10.1090/S0025-5718-08-02067-X

Local and pointwise error estimates of the local discontinuous Galerkin method applied to the Stokes problem
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by J. Guzmán PDF

Math. Comp. 77 (2008), 1293-1322 Request permission

Abstract:

We prove local and pointwise error estimates for the local discontinuous Galerkin method applied to the Stokes problem in two and three dimensions. By using techniques originally developed by A. Schatz [Math. Comp., 67 (1998), 877-899] to prove pointwise estimates for the Laplace equation, we prove optimal weighted pointwise estimates for both the velocity and the pressure for domains with smooth boundaries.

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