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A Subspace Cascadic Multigrid Method for Mortar Elements

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Abstract

A cascadic multigrid (CMG) method for elliptic problems with strong material jumps is proposed and analyzed. Non–matching grids at interfaces between subdomains are allowed and treated by mortar elements. The arising saddle point problems are solved by a subspace confined conjugate gradient method as smoother for the CMG. Details of algorithmic realization including adaptivity are elaborated. Numerical results illustrate the efficiency of the new subspace CMG algorithm.

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Authors and Affiliations

  1. Faculty of Mathematics Ruhr-University D-44780 Bochum Germany e-mail: braess@num.ruhr-uni-bochum.de, , , , , , DE

    D. Braess

  2. Department of Mathematics University of Houston Houston TX 77204-3476 USA e-mail: lipnikov@math.uh.edu, , , , , , US

    K. Lipnikov

  3. Konrad-Zuse-Zentrum Berlin (ZIB) & Freie Universität Berlin Takustrasse 7 & Arnimallee 2–6 D-14195 Berlin Germany e-mail: deuflhard@zib.de, , , , , , DE

    P. Deuflhard

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  1. D. Braess
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  2. P. Deuflhard
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  3. K. Lipnikov
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Received December 14, 2001; revised September 2, 2002 Published online: November 18, 2002

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Braess, D., Deuflhard, P. & Lipnikov, K. A Subspace Cascadic Multigrid Method for Mortar Elements. Computing 69, 205–225 (2002). https://doi.org/10.1007/s00607-002-1460-2

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  • DOI: https://doi.org/10.1007/s00607-002-1460-2

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