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A Subspace Cascadic Multigrid Method for Mortar Elements |
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| Authors: | D Braess P Deuflhard K Lipnikov |
| Affiliation: | Faculty of Mathematics Ruhr-University D-44780 Bochum Germany e-mail: braess@num.ruhr-uni-bochum.de, DE Konrad-Zuse-Zentrum Berlin (ZIB) & Freie Universit?t Berlin Takustrasse 7 & Arnimallee 2–6 D-14195 Berlin Germany e-mail: deuflhard@zib.de, DE Department of Mathematics University of Houston Houston TX 77204-3476 USA e-mail: lipnikov@math.uh.edu, US |
| 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. Received December 14, 2001; revised September 2, 2002 Published online: November 18, 2002 |
| Keywords: | AMS Subject Classification: 65N55 |
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