A new preconditioner for generalized saddle point matrices with highly singular(1,1) blocks

DOI10.1080/00207160.2013.867953zbMath1304.65123OpenAlexW2078681144MaRDI QIDQ2931949

Li-Tao Zhang

Publication date: 28 November 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.867953

zbMATH Keywords

finite element methodnumerical examplespreconditionersKrylov subspace methodsminimal polynomialMaxwell equationStokes equationsaddle point matricesgeneralized saddle point matrices

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08) Euler equations (35Q31)

Related Items (3)

A parameterized shift-splitting preconditioner for saddle point problems ⋮ Modified block preconditioner for generalized saddle point matrices with highly singular(1,1) blocks ⋮ Convergence of relaxed matrix parallel multisplitting chaotic methods for \(H\)-matrices

Uses Software

• GMRES
• BiCGstab

Cites Work

• Unnamed Item
• New block triangular preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks
• A note on spectrum analysis of augmentation block preconditioned generalized saddle point matrices
• Preconditioners for the discretized time-harmonic Maxwell equations in mixed form
• Numerical solution of saddle point problems
• Preconditioners for Generalized Saddle-Point Problems
• Augmentation block preconditioners for saddle point-type matrices with singular (1, 1) blocks
• On optimization techniques for solving nonlinear inverse problems
• A Preconditioner for Generalized Saddle Point Problems

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