## Search

Now showing items 1-10 of 11

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

(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 ...

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

(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 ...

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

(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. ...

#### 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, ...

#### Hierarchical parallelization of the multilevel fast multipole algorithm (MLFMA)

(IEEE, 2013)

Due to its O(N log N) complexity, the multilevel fast multipole algorithm (MLFMA) is one of the most prized algorithms of computational electromagnetics and certain other disciplines. Various implementations of this algorithm ...

#### Windowed equivalence principle for open surfaces

(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 ...

#### 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 ...

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

(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 ...

#### Schur complement preconditioners for surface integral-equation formulations of dielectric problems solved with the multilevel fast multipole algorithm

(Society for Industrial and Applied Mathematics, 2011-10-04)

Surface integral-equation methods accelerated with the multilevel fast multipole algorithm (MLFMA) provide a suitable mechanism for electromagnetic analysis of real-life dielectric problems. Unlike the perfect-electric-conductor ...

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

(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 ...