Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

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

Author: J. Guzmán
Journal: Math. Comp. 77 (2008), 1293-1322
MSC (2000): Primary 65N30, 65N15
Posted: January 25, 2008
MathSciNet review: 2398769
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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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