On block diagonal and block triangular iterative schemes and preconditioners for stabilized saddle point problems

DOI10.1016/j.cam.2017.05.009zbMath1370.65015OpenAlexW2614292797MaRDI QIDQ2012582

Michele Benzi, Sayyed-Hasan Azizi Chaparpordi, Fatemeh Panjeh Ali Beik

Publication date: 1 August 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.05.009

zbMATH Keywords

convergencepreconditioningfinite elementiterative methodssaddle point problemsKrylov subspace methodsmagnetostaticsincompressible fluid mechanics

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08)

Related Items (13)

A generalized SHSS preconditioner for generalized saddle point problem ⋮ Efficient HSS-based preconditioners for generalized saddle point problems ⋮ Modified restrictive preconditioners for double saddle point problems arising from liquid crystal director modeling ⋮ A modified alternating positive semidefinite splitting preconditioner for block three-by-three saddle point problems ⋮ Preconditioned iterative methods for the convective FitzHugh-Nagumo equations ⋮ Efficient Preconditioned Iterative Linear Solvers for 3-D Magnetostatic Problems Using Edge Elements ⋮ An accelerated symmetric SOR-like method for augmented systems ⋮ Shift-splitting preconditioners for a class of block three-by-three saddle point problems ⋮ Block triangular preconditioners for stabilized saddle point problems with nonsymmetric \((1,1)\)-block ⋮ The PPS method-based constraint preconditioners for generalized saddle point problems ⋮ A class of modified DPSS preconditioners for generalized saddle-point linear systems ⋮ A two-parameter shift-splitting preconditioner for saddle point problems ⋮ A NOTE ON BLOCK PRECONDITIONER FOR GENERALIZED SADDLE POINT MATRICES WITH HIGHLY SINGULAR (1, 1) BLOCK

Uses Software

• IFISS

Cites Work

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