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#### The solution of large EFIE problems via preconditioned multilevel fast multipole algorithm

(Institution of Engineering and Technology, 2007)

We propose an effective preconditioning scheme for the iterative solution of the systems formulated by the electric- field integral equation (EFIE). EFIE is notorious for producing difficult-to-solve systems. Especially, ...

#### 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 ...

#### 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 ...

#### 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 ...

#### Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns

(2007-11)

We propose novel parallel preconditioning schemes for the iterative solution of integral equation methods. In particular, we try to improve convergence rate of the ill-conditioned linear systems formulated by the electric-field ...

#### 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 ...