NDLI: Two different approaches for matching nonconforming grids: The Mortar Element method and the Feti Method

Content Provider	Springer Nature Link
Author	Lacour, C. Maday, Y.
Copyright Year	1997
Abstract	When using domain decomposition in a finite element framework for the approximation of second order elliptic or parabolic type problems, it has become appealing to tune the mesh of each subdomain to the local behaviour of the solution. The resulting discretization being then nonconforming, different approaches have been advocated to match the admissible discrete functions. We recall here the basics of two of them, the Mortar Element method and the Finite Element Tearing and Interconnecting (FETI) method, and aim at comparing them. The conclusion, both from the theoretical and numerical point of view, is in favor of the mortar element method.
Ending Page	738
Page Count	19
Starting Page	720
File Format	PDF
ISSN	00063835
e-ISSN	15729125
Journal	BIT Numerical Mathematics
Issue Number	3
Volume Number	37
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1997-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	mortar finite element method Computational Mathematics and Numerical Analysis saddle-point problem Other matrix algorithms Numeric Computing nonmatching grids Parallel computation Mathematics hybrid methods Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods Domain decomposition
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computer Networks and Communications Computational Mathematics Software

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Two different approaches for matching nonconforming grids: The Mortar Element method and the Feti Method