Geodesic
Piecewise bilinear preconditioning of high-order finite element method
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 228-242
Bounds on eigenvalues which are independent of both degrees of high-order elements and mesh sizes are shown for the system preconditioned by bilinear elements for high-order finite element discretizations applied to a model uniformly elliptic operator.
Classification : 65F10, 65M30
Keywords: multigrid, high-order finite element methods, piecewise linear preconditioning 
@article{ETNA_2007__26__a13,
     author = {Kim,  Sang Dong},
     title = {Piecewise bilinear preconditioning of high-order finite element method},
     journal = {Electronic transactions on numerical analysis},
     pages = {228--242},
     year = {2007},
     volume = {26},
     zbl = {1171.65445},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a13/}
}
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%A Kim,  Sang Dong
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%J Electronic transactions on numerical analysis
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Kim,  Sang Dong. Piecewise bilinear preconditioning of high-order finite element method. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 228-242. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a13/