## Search

Now showing items 1-9 of 9

#### 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 ...

#### 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 ...

#### Sequential and parallel preconditioners for large-scale integral-equation problems

(IEEE, 2007)

For efficient solutions of integral-equation methods via the multilevel fast multipole algorithm (MLFMA), effective preconditioners are required. In this paper we review appropriate preconditioners that have been used for ...

#### 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 ...

#### Approximate MLFMA as an efficient preconditioner

(IEEE, 2007)

In this work, we propose a preconditioner that approximates the dense system operator. For this purpose, we develop an approximate multilevel fast multipole algorithm (AMLFMA), which performs a much faster matrix-vector ...

#### 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 ...