Browsing by Keywords "Iterative solutions"
Now showing items 1-18 of 18
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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 ... -
Analysis of Lossy Dielectric Objects with the Multilevel Fast Multipole Algorithm
(2011)Rigorous solutions of electromagnetics problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combined-tangential formulation (CTF) and the ... -
Analysis of photonic-crystal problems with MLFMA and approximate Schur preconditioners
(2009)We consider fast and accurate solutions of electromagnetics problems involving three-dimensional photonic crystals (PhCs). Problems are formulated with the combined tangential formulation (CTF) and the electric and magnetic ... -
Approximate Schur preconditioners for efficient solutions of dielectric problems formulated with surface integral equations
(2009)We propose direct and iterative versions of approximate Schur preconditioners to increase robustness and efficiency of iterative solutions of dielectric problems formulated with surface integral equations. The performance ... -
Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm
(Institute of Electrical and Electronics Engineers, 2009)We consider fast and accurate solutions of scattering problems involving increasingly large dielectric objects formulated by surface integral equations. We compare various formulations when the objects are discretized with ... -
Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners
(2007)We consider accurate solution of scattering problems involving complicated metamaterial (MM) structures consisting of thin wires and split-ring resonators. The scattering problems are formulated by the electric-field ... -
Effective preconditioners for large integral-equation problems
(2007)We consider effective preconditioning schemes for the iterative solution of integral-equation methods. For parallel implementations, the sparse approximate inverse or the iterative solution of the near-field system enables ... -
Efficient solutions of metamaterial problems using a low-frequency multilevel fast multipole algorithm
(2010)We present fast and accurate solutions of electromagnetics problems involving realistic metamaterial structures using a lowfrequency multilevel fast multipole algorithm (LF-MLFMA). Accelerating iterative solutions using ... -
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 ... -
Improving iterative solutions of the electric-field integral equation via transformations into normal equations
(Taylor and Francis, 2012-04-03)We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are ... -
Iterative solution of dielectric waveguide problems via schur complement preconditioners
(2010)Surface integral-equation methods accelerated with the multilevel fast multipole algorithm provide suitable mechanisms for the solution of dielectric problems. In particular, recently developed formulations increase the ... -
MLFMA solutions of transmission problems Involving realistic metamaterial walls
(2007)We present the solution of multilayer metamaterial (MM) structures containing large numbers of unit cells, such as split-ring resonators. Integral-equation formulations of scattering problems are solved iteratively by ... -
Optimizing CMUT geometry for high power
(2010)Capacitive micromachined ultrasonic transducers (CMUTs) have demonstratedvarious advantages over piezoelectric transducers. However, current CMUT designsproduce low output pressures with high harmonic distortions. Optimizing ... -
Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns
(2007)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 ... -
Preconditioning iterative MLFMA solutions of integral equations
(2010)The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solutions of electromagnetics problems with low complexity. Iterative solvers, however, are not robust for three-dimensional complex ... -
Sequential and parallel preconditioners for Large-scale integral-equation problems
(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 ... -
The solution of large EFIE problems via preconditioned multilevel fast multipole algorithm
(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, ... -
Solution of large-scale scattering problems with the multilevel fast multipole algorithm parallelized on distributed-memory architectures
(2007)We present the solution of large-scale scattering problems involving three-dimensional closed conducting objects with arbitrary shapes. With an efficient parallelization of the multilevel fast multipole algorithm on ...
