Rapid solution of integral equations of scattering theory in two dimensions
Journal of Computational Physics
Preconditioning for boundary integral equations
SIAM Journal on Matrix Analysis and Applications
Factorized sparse approximate inverse preconditionings I: theory
SIAM Journal on Matrix Analysis and Applications
Iterative solution methods
Parallel Preconditioning with Sparse Approximate Inverses
SIAM Journal on Scientific Computing
Experimental study of ILU preconditioners for indefinite matrices
Journal of Computational and Applied Mathematics
A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
SIAM Journal on Scientific Computing
On a Class of Preconditioning Methods for Dense Linear Systems from Boundary Elements
SIAM Journal on Scientific Computing
BILUTM: A Domain-Based Multilevel Block ILUT Preconditioner for General Sparse Matrices
SIAM Journal on Matrix Analysis and Applications
A Priori Sparsity Patterns for Parallel Sparse Approximate Inverse Preconditioners
SIAM Journal on Scientific Computing
Applied Numerical Mathematics
Fast and Efficient Algorithms in Computational Electromagnetics
Fast and Efficient Algorithms in Computational Electromagnetics
On Two Variants of an Algebraic Wavelet Preconditioner
SIAM Journal on Scientific Computing
Preconditioning techniques for large linear systems: a survey
Journal of Computational Physics
Journal of Computational Physics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A Class of Spectral Two-Level Preconditioners
SIAM Journal on Scientific Computing
An Improved Discrete Wavelet Transform Preconditioner for Dense Matrix Problems
SIAM Journal on Matrix Analysis and Applications
SIAM Journal on Scientific Computing
International Journal of Computer Mathematics - INNOVATIVE ALGORITHMS IN SCIENCE AND ENGINEERING
The relationship between the features of sparse matrix and the matrix solving status
Proceedings of the 46th Annual Southeast Regional Conference on XX
Journal of Computational Physics
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In solving systems of linear equations arising from practical scientific and engineering modelling and simulations such as electromagnetics applications, it is important to choose a fast and robust solver. Due to the large scale of those problems, preconditioned Krylov subspace methods are most suitable. In electromagnetics simulations, the use of preconditioned Krylov subspace methods in the context of multilevel fast multipole algorithms (MLFMA) is particularly attractive. In this paper, we present a short survey of a few preconditioning techniques in this application. We also compare several preconditioning techniques combined with the Krylov subspace methods to solve large dense linear systems arising from electromagnetic scattering problems and present some numerical results.