## Search

Now showing items 1-10 of 17

#### 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 ...

#### Solution of extremely large integral-equation problems

(IEEE, 2007)

We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative ...

#### 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 ...

#### 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 ...

#### 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 ...

#### 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, ...

#### 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 ...

#### 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 ...

#### Solutions of large integral-equation problems with preconditioned MLFMA

(IEEE, 2007)

We report the solution of the largest integral-equation problems in computational electromagnetics. We consider matrix equations obtained from the discretization of the integral-equation formulations that are solved ...