Geodesic
Convergence of \(V\)-cycle and \(F\)-cycle multigrid methods for the biharmonic problem using the Morley element
Electronic transactions on numerical analysis, Tome 17 (2004), pp. 112-132
Multigrid V-cycle and F-cycle algorithms for the biharmonic problem using the Morley element are studied in this paper. We show that the contraction numbers can be uniformly improved by increasing the number of smoothing steps.
Classification : 65N55, 65N30
Keywords: multigrid, nonconforming, V-cycle, F-cycle, biharmonic problem, morley element 
@article{ETNA_2004__17__a7,
     author = {Zhao,  Jie},
     title = {Convergence of {\(V\)-cycle} and {\(F\)-cycle} multigrid methods for the biharmonic problem using the {Morley} element},
     journal = {Electronic transactions on numerical analysis},
     pages = {112--132},
     year = {2004},
     volume = {17},
     zbl = {1065.65139},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__17__a7/}
}
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%0 Journal Article
%A Zhao,  Jie
%T Convergence of \(V\)-cycle and \(F\)-cycle multigrid methods for the biharmonic problem using the Morley element
%J Electronic transactions on numerical analysis
%D 2004
%P 112-132
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%F ETNA_2004__17__a7
Zhao,  Jie. Convergence of \(V\)-cycle and \(F\)-cycle multigrid methods for the biharmonic problem using the Morley element. Electronic transactions on numerical analysis, Tome 17 (2004), pp. 112-132. http://geodesic.mathdoc.fr/item/ETNA_2004__17__a7/