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Gassav S. Abdoulaev, Yves Achdou, Yuri A. Kuznetsov, Christophe Prud'homme (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Notay, Yvan (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Wolfgang Hackbusch, Stefan A. Sauter (1998)
Archivum Mathematicum
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In this paper a new finite element approach is presented which allows the discretization of PDEs on domains containing small micro-structures with extremely few degrees of freedom. The applications of these so-called Composite Finite Elements are two-fold. They allow the efficient use of multi-grid methods to problems on complicated domains where, otherwise, it is not possible to obtain very coarse discretizations with standard finite elements. Furthermore, they provide a tool for discrete...
Joubert, Wayne, Cullum, Jane (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Bader, Michael, Zenger, Christoph (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Zhang, Jun (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Radim Blaheta, P. Byczanski, Roman Kohut (2002)
Applications of Mathematics
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This paper concerns the composite grid finite element (FE) method for solving boundary value problems in the cases which require local grid refinement for enhancing the approximating properties of the corresponding FE space. A special interest is given to iterative methods based on natural decomposition of the space of unknowns and to the implementation of both the composite grid FEM and the iterative procedures for its solution. The implementation is important for gaining all benefits...