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Now showing items 1-10 of 11

#### 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. ...

#### 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, ...

#### Preconditioning large integral-equation problems involving complex targets

(IEEE, 2008-07)

When the target problem is small in terms of the wavelength, simple preconditioners, such as BDP, may sufficiently accelerate the convergence. On the other hand, for large-scale problems, the matrix equations become much ...

#### 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 ...

#### 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 ...

#### Fast and accurate solutions of large-scale scattering problems with parallel multilevel fast multipole algorithm

(IEEE, 2007)

Fast and accurate solution of large-scale scattering problems obtained by integral-equation formulations for conducting surfaces is considered in this paper. By employing a parallel implementation of the multilevel fast ...

#### 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 ...

#### Iterative solution of the normal-equations form of the electric-field integral equation

(IEEE, 2007)

In this paper, we show that transforming the original equations into normal equations improves the convergence of EFIE significantly. We present the solutions of EFIE by employing the least-squares QR (LSQR) algorithm, ...

#### 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 ...

#### 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 ...