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Iterative Solution of Saddle-Point Systems of Linear Equations. / Il’in, V. P.; Kazantcev, G. Y.

In: Journal of Mathematical Sciences (United States), Vol. 249, No. 2, 01.08.2020, p. 199-208.

Research output: Contribution to journal › Article › peer-review

Harvard

Il’in, VP & Kazantcev, GY 2020, 'Iterative Solution of Saddle-Point Systems of Linear Equations', Journal of Mathematical Sciences (United States), vol. 249, no. 2, pp. 199-208. https://doi.org/10.1007/s10958-020-04934-7

APA

Il’in, V. P., & Kazantcev, G. Y. (2020). Iterative Solution of Saddle-Point Systems of Linear Equations. Journal of Mathematical Sciences (United States), 249(2), 199-208. https://doi.org/10.1007/s10958-020-04934-7

Vancouver

Il’in VP, Kazantcev GY. Iterative Solution of Saddle-Point Systems of Linear Equations. Journal of Mathematical Sciences (United States). 2020 Aug 1;249(2):199-208. doi: 10.1007/s10958-020-04934-7

Author

Il’in, V. P. ; Kazantcev, G. Y. / Iterative Solution of Saddle-Point Systems of Linear Equations. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 249, No. 2. pp. 199-208.

BibTeX

@article{6c33f30c99b74d20a69222e533bca832,
title = "Iterative Solution of Saddle-Point Systems of Linear Equations",
abstract = "The paper considers preconditioned iterative methods in Krylov subspaces for solving systems of linear algebraic equations (SLAEs) with a saddle point arising from grid approximations of threedimensional boundary-value problems of various types describing filtration flows of a two-phase incompressible fluid. A comparative analysis of up-to-date approaches to block preconditioning of SLAEs under consideration, including issues of scalable parallelization of algorithms on multiprocessor computing systems with distributed and hierarchical shared memory using hybrid programming tools, is presented. A regularized Uzawa algorithm using a two-level iterative process is proposed. Results of numerical experiments for the Dirichlet and Neumann model boundary-value problems are provided and discussed. Bibliography: 15 titles.",
author = "Il{\textquoteright}in, {V. P.} and Kazantcev, {G. Y.}",
year = "2020",
month = aug,
day = "1",
doi = "10.1007/s10958-020-04934-7",
language = "English",
volume = "249",
pages = "199--208",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Iterative Solution of Saddle-Point Systems of Linear Equations

AU - Il’in, V. P.

AU - Kazantcev, G. Y.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - The paper considers preconditioned iterative methods in Krylov subspaces for solving systems of linear algebraic equations (SLAEs) with a saddle point arising from grid approximations of threedimensional boundary-value problems of various types describing filtration flows of a two-phase incompressible fluid. A comparative analysis of up-to-date approaches to block preconditioning of SLAEs under consideration, including issues of scalable parallelization of algorithms on multiprocessor computing systems with distributed and hierarchical shared memory using hybrid programming tools, is presented. A regularized Uzawa algorithm using a two-level iterative process is proposed. Results of numerical experiments for the Dirichlet and Neumann model boundary-value problems are provided and discussed. Bibliography: 15 titles.

AB - The paper considers preconditioned iterative methods in Krylov subspaces for solving systems of linear algebraic equations (SLAEs) with a saddle point arising from grid approximations of threedimensional boundary-value problems of various types describing filtration flows of a two-phase incompressible fluid. A comparative analysis of up-to-date approaches to block preconditioning of SLAEs under consideration, including issues of scalable parallelization of algorithms on multiprocessor computing systems with distributed and hierarchical shared memory using hybrid programming tools, is presented. A regularized Uzawa algorithm using a two-level iterative process is proposed. Results of numerical experiments for the Dirichlet and Neumann model boundary-value problems are provided and discussed. Bibliography: 15 titles.

UR - http://www.scopus.com/inward/record.url?scp=85088277135&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-04934-7

DO - 10.1007/s10958-020-04934-7

M3 - Article

AN - SCOPUS:85088277135

VL - 249

SP - 199

EP - 208

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 2

ER -

ID: 24784644