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Now showing items 11-17 of 17

#### 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 ...

#### 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 ...

#### 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 ...