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Mathematics of Computation

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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