Geodesic
Parallel multigrid method for solving elliptic equations
Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 55-68

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Proposed algorithm represents an efficient parallel implementation of the multigrid method of R. P. Fedorenko and is intended for solving three-dimensional elliptic equations. Scalability is provided by the usage of the Chebyshev iteration for solution of the coarsest grid equations and for construction of the smoothing procedures. The calculation results are given; they confirm the efficiency of the algorithm and scalability of the parallel code.
Keywords: numerical simulation, three-dimensional elliptic equations, multigrid, Chebyshev iteration
Mots-clés : parallel implementation. 
@article{MM_2014_26_1_a4,
     author = {V. T. Zhukov and N. D. Novikova and O. B. Feodoritova},
     title = {Parallel multigrid method for solving elliptic equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {55--68},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_1_a4/}
}
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V. T. Zhukov; N. D. Novikova; O. B. Feodoritova. Parallel multigrid method for solving elliptic equations. Matematičeskoe modelirovanie, Tome 26 (2014) no. 1, pp. 55-68. http://geodesic.mathdoc.fr/item/MM_2014_26_1_a4/