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Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns
(2007-11)
We propose novel parallel preconditioning schemes for the iterative solution of integral equation methods. In particular, we try to improve convergence rate of the ill-conditioned linear systems formulated by the electric-field ...
Preconditioning iterative MLFMA solutions of integral equations
(IEEE, 2010)
The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solutions of electromagnetics problems with low complexity. Iterative solvers, however, are not robust for three-dimensional complex ...
Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners
(IEEE, 2007-11)
We consider accurate solution of scattering problems involving complicated metamaterial (MM) structures consisting of thin wires and split-ring resonators. The scattering problems are formulated by the electric-field ...
Effective preconditioners for large integral-equation problems
(IET, 2007-11)
We consider effective preconditioning schemes for the iterative solution of integral-equation methods. For parallel implementations, the sparse approximate inverse or the iterative solution of the near-field system enables ...