TY - JOUR

T1 - Two-Level Least Squares Methods in Krylov Subspaces

AU - Il’in, V. P.

PY - 2018/8/1

Y1 - 2018/8/1

N2 - Two-level least squares acceleration approaches are applied to the Chebyshev acceleration method and the restarted conjugate residual method in solving systems of linear algebraic equations with sparse unsymmetric coefficient matrices arising from finite volume or finite element approximations of boundary-value problems on irregular grids. Application of the proposed idea to other iterative restarted processes also is considered. The efficiency of the algorithms suggested is investigated numerically on a set of model Dirichlet problems for the convection-diffusion equation.

AB - Two-level least squares acceleration approaches are applied to the Chebyshev acceleration method and the restarted conjugate residual method in solving systems of linear algebraic equations with sparse unsymmetric coefficient matrices arising from finite volume or finite element approximations of boundary-value problems on irregular grids. Application of the proposed idea to other iterative restarted processes also is considered. The efficiency of the algorithms suggested is investigated numerically on a set of model Dirichlet problems for the convection-diffusion equation.

UR - http://www.scopus.com/inward/record.url?scp=85049140027&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3916-8

DO - 10.1007/s10958-018-3916-8

M3 - Article

AN - SCOPUS:85049140027

VL - 232

SP - 892

EP - 902

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 6

ER -