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Now showing items 11-20 of 23

#### Fast and accurate solutions of extremely large integral-equation problems discretised with tens of millions of unknowns

(The Institution of Engineering and Technology, 2007)

The solution of extremely large scattering problems that are formulated by integral equations and discretised with tens of millions of unknowns is reported. Accurate and efficient solutions are performed by employing a ...

#### 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 ...

#### Fast and accurate analysis of optical metamaterials using surface integral equations and the parallel multilevel fast multipole algorithm

(IEEE, 2013)

We present fast and accurate simulations of optical metamaterials using surface integral equations and the multilevel fast multipole algorithm (MLFMA). Problems are formulated with the electric and magnetic current ...

#### On the Lagrange interpolation in multilevel fast multipole algorithm

(IEEE, 2006)

We consider the Lagrange interpolation employed in the multilevel fast multipole algorithm (MLFMA) as part of our efforts to obtain faster and more efficient solutions for large problems of computational electromagnetics. ...

#### 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 ...

#### Improving the accuracy of the surface integral equations for low-contrast dielectric scatterers

(IEEE, 2007)

Solutions of scattering problems involving low-contrast dielectric objects are considered by employing surface integral equations. A stabilization procedure based on extracting the non-radiating part of the induced currents ...

#### 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 ...

#### 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 ...

#### 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 ...