## Search

Now showing items 1-10 of 16

#### 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 large integral-equation problems involving complex targets

(IEEE, 2008-07)

When the target problem is small in terms of the wavelength, simple preconditioners, such as BDP, may sufficiently accelerate the convergence. On the other hand, for large-scale problems, the matrix equations become much ...

#### An effective preconditioner based on schur complement reduction for integral-equation formulations of dielectric problems

(IEEE, 2009)

The author consider effective preconditioning of recently proposed two integral-equation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral ...

#### Scalable parallelization of the sparse-approximate-inverse (SAl) preconditioner for the solution of large-scale integral-equation problems

(IEEE, 2009-06)

In this paper, we consider efficient parallelization of the sparse approximate inverse (SAI) preconditioner in the context of the multilevel fast multipole algorithm (MLFMA). Then, we report the use of SAI in the solution ...

#### The solution of large EFIE problems via preconditioned multilevel fast multipole algorithm

(Institution of Engineering and Technology, 2007)

We propose an effective preconditioning scheme for the iterative solution of the systems formulated by the electric- field integral equation (EFIE). EFIE is notorious for producing difficult-to-solve systems. Especially, ...

#### 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 ...