A multigrid version of a simple finite element method for the Stokes problem

Authors:
Juhani Pitkäranta and Tuomo Saarinen

Journal:
Math. Comp. **45** (1985), 1-14

MSC:
Primary 65N20; Secondary 65N30, 65N50, 76-08

DOI:
https://doi.org/10.1090/S0025-5718-1985-0790640-2

MathSciNet review:
790640

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Abstract: We consider a finite element method for the Stokes problem on a rectangular domain based on piecewise bilinear velocities and piecewise constant pressures on a uniform rectangular grid. It is shown that by a simple stabilization strategy the method can be implemented in a convergent multigrid procedure.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1985-0790640-2

Article copyright:
© Copyright 1985
American Mathematical Society