Geodesic
On development of parallel algorithms for the solution of parabolic and elliptic equations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 155 (2018), pp. 20-37

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Results of the development of certain parallel numerical methods of solution of three-dimensional evolutionary and stationary problems of diffusion and thermal conductivity are given in the paper. We present a detailed description of a special explicit iteration scheme for parabolic equations and discuss a multigrid technology used for the solution of elliptic equations and implicit schemes for parabolic equations.
Mots-clés : parabolic equations, elliptic equations, adaptation.
Keywords: multigrid method, Chebyshev parameters 
@article{INTO_2018_155_a1,
     author = {V. T. Zhukov and O. B. Feodoritova},
     title = {On development of parallel algorithms for the solution of parabolic and elliptic equations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {20--37},
     publisher = {mathdoc},
     volume = {155},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_155_a1/}
}
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V. T. Zhukov; O. B. Feodoritova. On development of parallel algorithms for the solution of parabolic and elliptic equations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 155 (2018), pp. 20-37. http://geodesic.mathdoc.fr/item/INTO_2018_155_a1/