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Acceleration of parallel solution of 2D boundary value problems with two-grid preconditioning
Numerical methods and programming, Tome 25 (2024) no. 2, pp. 187-196 Cet article a éte moissonné depuis la source Math-Net.Ru

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An algorithm for accelerating the solution of boundary value problems on quasi-structured grids is proposed and experimentally studied. The basis of the algorithm is two-grid preconditioning, which is built on a macro-grid, which is an element of a quasi-structured grid. This approach does not require the introduction of additional tools. A series of numerical experiments were carried out, the results of which show acceleration of calculations by 2.5 times without parallelization only due to preconditioning without parallelization and demonstrate super-acceleration during parallelization.
Keywords: boundary value problems, quasi-structured grids, two-grid preconditioning, parallelization, solution acceleration. 
@article{VMP_2024_25_2_a4,
     author = {A. N. Kozyrev and V. D. Korneev and V. M. Sveshnikov},
     title = {Acceleration of parallel solution of {2D} boundary value problems with two-grid preconditioning},
     journal = {Numerical methods and programming},
     pages = {187--196},
     year = {2024},
     volume = {25},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2024_25_2_a4/}
}
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A. N. Kozyrev; V. D. Korneev; V. M. Sveshnikov. Acceleration of parallel solution of 2D boundary value problems with two-grid preconditioning. Numerical methods and programming, Tome 25 (2024) no. 2, pp. 187-196. http://geodesic.mathdoc.fr/item/VMP_2024_25_2_a4/