Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem
From MaRDI portal
Publication:1672639
DOI10.1016/j.camwa.2017.07.026zbMath1397.65269OpenAlexW2751798975MaRDI QIDQ1672639
Jun Zou, Na Huang, Chang-Feng Ma
Publication date: 11 September 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.07.026
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A relaxed positive-definite and skew-Hermitian splitting preconditioner for saddle point problems
- Choice of the perfectly matched layer boundary condition for frequency-domain Maxwell's equations solvers
- A sweeping preconditioner for time-harmonic Maxwell's equations with finite elements
- A relaxed dimensional factorization preconditioner for the incompressible Navier-Stokes equations
- RMCP: relaxed mixed constraint preconditioners for saddle point linear systems arising in geomechanics
- On parameterized block triangular preconditioners for generalized saddle point problems
- A perfectly matched layer for the absorption of electromagnetic waves
- Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
- Sharp error bounds of some Krylov subspace methods for non-Hermitian linear systems
- Block triangular preconditioners for symmetric saddle-point problems
- Preconditioners for saddle point problems arising in computational fluid dynamics
- Shift-splitting preconditioners for saddle point problems
- New preconditioners for saddle point problems
- Positive stable block triangular preconditioners for symmetric saddle point problems
- An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems
- GMRES Convergence for Perturbed Coefficient Matrices, with Application to Approximate Deflation Preconditioning
- Finite Elements and Fast Iterative Solvers
- Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
- Constraint Preconditioners for Symmetric Indefinite Matrices
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Solution of Sparse Indefinite Systems of Linear Equations
- Differential Forms, Metrics, and the Reflectionless Absorption of Electromagnetic Waves
- Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
- An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term
- A Note on Preconditioning for Indefinite Linear Systems
- A Preconditioner for Generalized Saddle Point Problems
- Matrix Preconditioning Techniques and Applications
- An effective preconditioner for a PML system for electromagnetic scattering problem
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems
- Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity
- Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow
