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Iterative Solution of Saddle-Point Systems of Linear Equations. / Il’in, V. P.; Kazantcev, G. Y.
в: Journal of Mathematical Sciences (United States), Том 249, № 2, 01.08.2020, стр. 199-208.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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