Sharp maximum norm error estimates for finite element approximations of the Stokes problem in -D

Authors:
R. Durán, R. H. Nochetto and Jun Ping Wang

Journal:
Math. Comp. **51** (1988), 491-506

MSC:
Primary 65N30; Secondary 65N15, 76-08, 76D99

DOI:
https://doi.org/10.1090/S0025-5718-1988-0935076-9

MathSciNet review:
935076

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Abstract: This paper deals with finite element approximations of the Stokes equations in a plane bounded domain , using the so-called velocity-pressure mixed formulation. Quasi-optimal error estimates in the maximum norm are derived for the velocity, its gradient and the pressure fields. The analysis relies on abstract properties which are in turn a consequence of the eixstence of a local projection operator satisfying

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1988-0935076-9

Keywords:
Finite element method,
Stokes equation

Article copyright:
© Copyright 1988
American Mathematical Society