article · OpenGrey (Institut de l'Information Scientifique et Technique) · 1997

A Cascade Algorithm for the Stokes Equations

Braess, D., Dahmen, W., Aachen Technische Hochschule (Germany). Inst. fuer Geometrie und Praktische Mathematik

Cited by 0Abstract and details only

Abstract

A variant of multigrid schemes for the Stokes problem is discussed. In particular, we propose and analyse a cascadic version for the Stokes problem. The analysis of the transfer between the grids requires special care in order to establish that the complexity is the same as that for classical multigrid algorithms. Keywords: Saddle point problems, Stokes problem, cascadic iteration, smoother, projection method 1 Introduction Multigrid methods without coarse grid corrections have been defined and applied to elliptic problems of second order by Bornemann and Deuflhard [1]. They have called it a cascadic algorithm and showed that an optimal iteration method with respect to the energy norm is obtained if conforming elements are used. Deuflhard&apos;s starting point for the cascadic multigrid method was the idea that it should be sufficient to start the iteration at the level i with a good approximation from the level i -1. A similar idea can already be found in Chapter 9 of Wachspress&apos; book...

Cite this paper

APA 7

Braess, D., Dahmen, W., & Mathematik, A. T. H. G. I. F. G. U. P. (1997). A Cascade Algorithm for the Stokes Equations. OpenGrey (Institut de l'Information Scientifique et Technique).

MLA 9

Braess, D., et al. “A Cascade Algorithm for the Stokes Equations.” OpenGrey (Institut de l'Information Scientifique et Technique), 1997.

Chicago

Braess, D., W. Dahmen, and Aachen Technische Hochschule (Germany). Inst. fuer Geometrie und Praktische Mathematik. 1997. “A Cascade Algorithm for the Stokes Equations.” OpenGrey (Institut de l'Information Scientifique et Technique).

Harvard

Braess, D., Dahmen, W. and Mathematik, A.T.H.G.I.F.G.U.P. (1997) ‘A Cascade Algorithm for the Stokes Equations’, OpenGrey (Institut de l'Information Scientifique et Technique).

BibTeX

@article{braess1997cascade,
  title = {{A Cascade Algorithm for the Stokes Equations}},
  author = {Braess, D. and Dahmen, W. and Mathematik, Aachen Technische Hochschule (Germany). Inst. fuer Geometrie und Praktische},
  journal = {OpenGrey (Institut de l'Information Scientifique et Technique)},
  year = {1997}
}

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