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Now showing items 1-8 of 8

#### Analysis of photonic-crystal problems with MLFMA and approximate Schur preconditioners

(IEEE, 2009-07)

We consider fast and accurate solutions of electromagnetics problems involving three-dimensional photonic crystals (PhCs). Problems are formulated with the combined tangential formulation (CTF) and the electric and magnetic ...

#### 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 ...

#### 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 ...

#### Approximate Schur preconditioners for efficient solutions of dielectric problems formulated with surface integral equations

(IEEE, 2009-07)

We propose direct and iterative versions of approximate Schur preconditioners to increase robustness and efficiency of iterative solutions of dielectric problems formulated with surface integral equations. The performance ...

#### 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 ...

#### Iterative solution of dielectric waveguide problems via schur complement preconditioners

(IEEE, 2010-07)

Surface integral-equation methods accelerated with the multilevel fast multipole algorithm provide suitable mechanisms for the solution of dielectric problems. In particular, recently developed formulations increase the ...

#### Incomplete LU preconditioning for the electric-field integral equation

(, 2006)

Linear systems resulting from the electric-field integral equation (EFIE) become ill-conditioned, particularly for large-scale problems. Hence, effective preconditioners should be used to obtain the iterative solution with ...