Journal
SYMMETRY-BASEL
Volume 12, Issue 2, Pages -Publisher
MDPI
DOI: 10.3390/sym12020233
Keywords
multigrid methods; Hermitian; skew-Hermitian splitting method; skew-Hermitian triangular splitting method; strongly non-Hermitian matrix
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Funding
- RFBR [N19-51-53013 GFENa]
- Ministry of Science and Higher Education of the Russian Federation [N1.5169.2017/8.9]
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Multigrid methods (MGMs) are used for discretized systems of partial differential equations (PDEs) which arise from finite difference approximation of the incompressible Navier-Stokes equations. After discretization and linearization of the equations, systems of linear algebraic equations (SLAEs) with a strongly non-Hermitian matrix appear. Hermitian/skew-Hermitian splitting (HSS) and skew-Hermitian triangular splitting (STS) methods are considered as smoothers in the MGM for solving the SLAE. Numerical results for an algebraic multigrid (AMG) method with HSS-based smoothers are presented.
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