New block triangular preconditioner for linear systems arising from the discretized time-harmonic Maxwell equations

DOI10.1016/j.cpc.2009.05.019zbMath1197.78068OpenAlexW2057412213MaRDI QIDQ711840

Tong-Xiang Gu, Xian-Yu Zuo, Li-Tao Zhang, Ting-Zhu Huang

Publication date: 28 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2009.05.019

zbMATH Keywords

Maxwell equationsKrylov subspace methodsaddle point problemblock preconditioner

Mathematics Subject Classification ID

Basic methods for problems in optics and electromagnetic theory (78M99) Preconditioners for iterative methods (65F08)

Related Items (4)

New preconditioners with two variable relaxation parameters for the discretized time-harmonic Maxwell equations in mixed form ⋮ New preconditioning techniques for saddle point problems arising from the time-harmonic Maxwell equations ⋮ Semi-convergence analysis of Uzawa-AOR method for singular saddle point problems ⋮ On LPMHSS-based iteration methods for a class of weakly nonlinear systems

Cites Work

• Stabilized interior penalty methods for the time-harmonic Maxwell equations.
• Preconditioning indefinite systems in interior point methods for optimization
• Modeling of electromagnetic absorption/scattering problems using \(hp\)-adaptive finite elements
• Preconditioners for the discretized time-harmonic Maxwell equations in mixed form
• A Preconditioner for Linear Systems Arising From Interior Point Optimization Methods
• Constraint Preconditioning for Indefinite Linear Systems
• Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
• Iterative Krylov Methods for Large Linear Systems
• Mixed discontinuous Galerkin approximation of the Maxwell operator: The indefinite case

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