## Search

Now showing items 1-10 of 16

#### Solution of low-frequency electromagnetics problems using hierarchical matrices

(IEEE, 2013)

Fast and accurate solutions of low-frequency electromagnetics problems are obtained with an iterative solver based on hierarchical matrices. Iterative solvers require matrix-vector multiplications (MVMs). The results show ...

#### Accelerating the multilevel fast multipole algorithm with the sparse-approximate-inverse (SAI) preconditioning

(Society for Industrial and Applied Mathematics, 2009)

With the help of the multilevel fast multipole algorithm, integral-equation methods can be used to solve real-life electromagnetics problems both accurately and efficiently. Increasing problem dimensions, on the other hand, ...

#### 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 ...

#### 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 ...

#### Analysis of double-negative materials with surface integral equations and the multilevel fast multipole algorithm

(IEEE, 2011)

We present a fast and accurate analysis of double-negative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). DNMs are commonly used as simplified models of metamaterials ...

#### Rigorous solutions of large-scale dielectric problems with the parallel multilevel fast multipole algorithm

(IEEE, 2011)

We present fast and accurate solutions of large-scale electromagnetics problems involving three-dimensional homogeneous dielectric objects. Problems are formulated rigorously with the electric and magnetic current ...

#### Windowed equivalence principle for open surfaces

(IEEE, 2013)

We introduce a modified current expansion scheme over open surfaces based on the equivalence theorem, which employs closed surfaces, in principle. Weighting the expansion coefficients with a suitable window function ...

#### Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems

(IEEE, 2011)

This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent ...

#### Reducing MLFMA memory with out-of-core implementation and data-structure parallelization

(IEEE, 2013)

We present two memory-reduction methods for the parallel multilevel fast multipole algorithm (MLFMA). The first method implements out-of-core techniques and the second method parallelizes the pre-processing data structures. ...

#### Iterative near-field preconditioner for the multilevel fast multipole algorithm

(Society for Industrial and Applied Mathematics, 2010-07-06)

For iterative solutions of large and difficult integral-equation problems in computational electromagnetics using the multilevel fast multipole algorithm (MLFMA), preconditioners are usually built from the available sparse ...