Now showing items 1-6 of 6
Approximate Schur preconditioners for efficient solutions of dielectric problems formulated with surface integral equations
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 ...
Preconditioning iterative MLFMA solutions of integral equations
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 ...
Effective preconditioners for large integral-equation problems
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 ...
Incomplete LU preconditioning for the electric-field integral equation
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
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 ...
Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners
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 ...