Geodesic
Cascadic multigrid preconditioner for elliptic equations with jump coefficients
Electronic transactions on numerical analysis, Tome 39 (2012), pp. 333-339
This paper provides a proof of robustness of the cascadic multigrid preconditioner for the linear finite element approximation of second order elliptic problems with strongly discontinuous coefficients. As a result, we prove that the convergence rate of the conjugate gradient method with cascadic multigrid preconditioner is uniform with respect to large jumps and mesh sizes.
Classification : 65N30, 65N55, 65F10
Keywords: jump coefficients, conjugate gradient, condition number, cascadic multigrid 
@article{ETNA_2012__39__a7,
     author = {Liu,  Zhiyong and He,  Yinnian},
     title = {Cascadic multigrid preconditioner for elliptic equations with jump coefficients},
     journal = {Electronic transactions on numerical analysis},
     pages = {333--339},
     year = {2012},
     volume = {39},
     zbl = {1287.65135},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2012__39__a7/}
}
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%A He,  Yinnian
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%J Electronic transactions on numerical analysis
%D 2012
%P 333-339
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Liu,  Zhiyong; He,  Yinnian. Cascadic multigrid preconditioner for elliptic equations with jump coefficients. Electronic transactions on numerical analysis, Tome 39 (2012), pp. 333-339. http://geodesic.mathdoc.fr/item/ETNA_2012__39__a7/