Block triangular preconditioners for the discretized time-harmonic Maxwell equations in mixed form
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Publication:603390
DOI10.1016/j.cpc.2008.09.004zbMath1198.65219OpenAlexW2015272191MaRDI QIDQ603390
Ting-Zhu Huang, Shu-Qian Shen, Guang-Hui Cheng
Publication date: 6 November 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2008.09.004
Krylov methodstime-harmonic Maxwell equationssaddle point linear systemsblock triangular preconditioner
Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
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Cites Work
- Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks
- Mixed finite elements in \(\mathbb{R}^3\)
- Block triangular preconditioners for symmetric saddle-point problems
- Stabilized interior penalty methods for the time-harmonic Maxwell equations.
- Positive stable block triangular preconditioners for symmetric saddle point problems
- Preconditioners for the discretized time-harmonic Maxwell equations in mixed form
- Fast Iterative Solution of Stabilised Stokes Systems. Part I: Using Simple Diagonal Preconditioners
- Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
- Block-Triangular Preconditioners for Saddle Point Problems with a Penalty Term
- Substructuring preconditioners for saddle-point problems arising from Maxwell’s equations in three dimensions
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients
- A Note on Preconditioning for Indefinite Linear Systems
- Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations
- Finite Element Methods for Maxwell's Equations
- Block preconditioning for saddle point systems with indefinite (1, 1) block
- SOR-like methods for augmented systems
