Browsing by Keywords "Preconditioners"
Now showing items 112 of 12

Analysis of photoniccrystal problems with MLFMA and approximate Schur preconditioners
(2009)We consider fast and accurate solutions of electromagnetics problems involving threedimensional 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 ... 
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 splitring resonators. The scattering problems are formulated by the electricfield ... 
Effective preconditioners for large integralequation problems
(2007)We consider effective preconditioning schemes for the iterative solution of integralequation methods. For parallel implementations, the sparse approximate inverse or the iterative solution of the nearfield system enables ... 
Efficient solutions of metamaterial problems using a lowfrequency 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 (LFMLFMA). Accelerating iterative solutions using ... 
Fast and accurate analysis of large metamaterial structures using the multilevel fast multipole algorithm
(2009)We report fast and accurate simulations of metamaterial structures constructed with large numbers of unit cells containing splitring resonators and thin wires. Scattering problems involving various metamaterial walls are ... 
Incomplete LU preconditioning for the electricfield integral equation
(2006)Linear systems resulting from the electricfield integral equation (EFIE) become illconditioned, particularly for largescale problems. Hence, effective preconditioners should be used to obtain the iterative solution with ... 
Iterative solution of dielectric waveguide problems via schur complement preconditioners
(2010)Surface integralequation methods accelerated with the multilevel fast multipole algorithm provide suitable mechanisms for the solution of dielectric problems. In particular, recently developed formulations increase the ... 
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 illconditioned linear systems formulated by the electricfield ... 
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 threedimensional complex ... 
Sequential and parallel preconditioners for Largescale integralequation problems
(2007)For efficient solutions of integralequation methods via the multilevel fast multipole algorithm (MLFMA), effective preconditioners are required. In this paper we review appropriate preconditioners that have been used for ... 
Solutions of largescale electromagnetics problems using an iterative innerouter scheme with ordinary and approximate multilevel fast multipole algorithms
(2010)We present an iterative innerouter scheme for the efficient solution of largescale electromagnetics problems involving perfectlyconducting objects formulated with surface integral equations. Problems are solved by ...