Geodesic
Multigrid algorithm with conditional coarsening for the non-aligned sonic flow
Electronic transactions on numerical analysis, Tome 6 (1997), pp. 106-119
A multigrid approach using conditional coarsening in constructing solvers for non-elliptic equations on a rectangular grid is presented. Such an approach permits the achievement of a full multigrid efficiency even in the case where the equation characteristics do not align with the grid. The 2D sonic-flow equation linearized over a constant velocity field has been chosen as the model problem. An efficient F M G solver for the problem is demonstrated.
Classification : 65N55, 76H05, 76M20
Keywords: multigrid methods, conditional coarsening, sonic flow, non-alignment 
@article{ETNA_1997__6__a12,
     author = {Diskin,  Boris},
     title = {Multigrid algorithm with conditional coarsening for the non-aligned sonic flow},
     journal = {Electronic transactions on numerical analysis},
     pages = {106--119},
     year = {1997},
     volume = {6},
     zbl = {0897.76060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1997__6__a12/}
}
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EP  - 119
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%A Diskin,  Boris
%T Multigrid algorithm with conditional coarsening for the non-aligned sonic flow
%J Electronic transactions on numerical analysis
%D 1997
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%U http://geodesic.mathdoc.fr/item/ETNA_1997__6__a12/
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%F ETNA_1997__6__a12
Diskin,  Boris. Multigrid algorithm with conditional coarsening for the non-aligned sonic flow. Electronic transactions on numerical analysis, Tome 6 (1997), pp. 106-119. http://geodesic.mathdoc.fr/item/ETNA_1997__6__a12/