A nonconforming multigrid method for the stationary Stokes equations

Author:

Brenner Susanne C.

Abstract

An optimal-order W-cycle multigrid method for solving the stationary Stokes equations is developed, using P1 nonconforming divergence-free finite elements.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference18 articles.

1. Pure and Applied Mathematics, Vol. 65;Adams, Robert A.,1975

2. An optimal order process for solving finite element equations;Bank, Randolph E.;Math. Comp.,1981

3. D. Braess and R. Verfürth, Multi-grid methods for non-conforming finite element methods, preprint number 453, Universität Heidelberg, March 1988.

4. Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation;Bramble, J. H.;SIAM J. Numer. Anal.,1970

5. The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms;Bramble, James H.;Math. Comp.,1991

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