Exact inverse solution techniques for a class of complex valued block two-by-two linear systems

DOI10.1007/s11075-021-01180-zzbMath1490.65051OpenAlexW3211131334MaRDI QIDQ2129625

Zhao-Zheng Liang, Owe Axelsson

Publication date: 22 April 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01180-z

zbMATH Keywords

Schur complementmatrix factorizationcomplex linear systemstime-harmonic parabolic equation

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Uses Software

• IFISS
• AGMG

Cites Work

• Unnamed Item
• A note on preconditioners for complex linear systems arising from PDE-constrained optimization problems
• A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control
• Comparison of preconditioned Krylov subspace iteration methods for PDE-constrained optimization problems
• A comparison of iterative methods to solve complex valued linear algebraic systems
• An aggregation-based algebraic multigrid method
• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• A practical factorization of a Schur complement for PDE-constrained distributed optimal control
• Eddy current approximation of Maxwell equations. Theory, algorithms and applications
• A note on preconditioning methods for time-periodic eddy current optimal control problems
• A robust structured preconditioner for time-harmonic parabolic optimal control problems
• Stability estimates and structural spectral properties of saddle point problems
• A new version of a preconditioning method for certain two-by-two block matrices with square blocks
• Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems
• A new approximation of the Schur complement in preconditioners for PDE-constrained optimization
• An Algebraic Multigrid Method with Guaranteed Convergence Rate
• Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
• Numerical solution of saddle point problems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Solution of Sparse Indefinite Systems of Linear Equations
• A Note on Preconditioning for Indefinite Linear Systems
• IFISS: A Computational Laboratory for Investigating Incompressible Flow Problems

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