Interpolation of non-smooth functions on anisotropic finite element meshes
In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math. Comp. 54(1990)190, 483--493) are discussed. The modified operators are defined for non-smooth functions and are suited for the application on anisotropic meshes. The anisotropy of the elements is refle...
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| Format: | Others |
| Language: | English |
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Universitätsbibliothek Chemnitz
1998
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801341 http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801341 http://www.qucosa.de/fileadmin/data/qucosa/documents/4213/data/b006.pdf http://www.qucosa.de/fileadmin/data/qucosa/documents/4213/data/b006.ps http://www.qucosa.de/fileadmin/data/qucosa/documents/4213/19980134.txt |
| Summary: | In this paper, several modifications of the quasi-interpolation operator
of Scott and Zhang (Math. Comp. 54(1990)190, 483--493) are discussed.
The modified operators are defined for non-smooth functions and are suited
for the application on anisotropic meshes. The anisotropy of the elements
is reflected in the local stability and approximation error estimates.
As an application, an example is considered where anisotropic finite element
meshes are appropriate, namely the Poisson problem in domains with edges. |
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