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A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids |
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| Authors: | D Braess M Dryja W Hackbush |
| Affiliation: | Fakult?t für Mathematik, Ruhr-Universit?t, D-44780 Bochum, Germany, e-mail: braess@num.ruhr-uni-bochum.de, DE Department of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland, e-mail: dryja@hydra.mimuw.edu.pl, PL Max-Planck-Institut, Mathematik in den Naturwissenschaften, Inselstr. 22-26, D-04103 Leipzig, Germany, e-mail: wh@mis.mpg.de, DE |
| Abstract: | Nonconforming finite element discretisations require special care in the construction of the prolongation and restriction in the multigrid process. In this paper, a general scheme is proposed, which guarantees the approximation property. As an example, the technique is applied to the discretisation by non-matching grids (mortar elements). Received: October 15, 1998 |
| Keywords: | AMS Subject Classifications:65F10 65N55 65N30 |
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