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The performance of ML estimator is determined by the iterative solver and the selected initial point.
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Furthermore, a highly sparse problem-dependent preconditioner is developed to significantly reduce the number of iterations used by the iterative solvers.
We also show that the preconditioner setup and preconditioner application cost can be somewhat offset by the faster convergence of the iterative solver.
After the fields variable (a global variable pointing to the meep::fields* object initialized by init-fields, see above), the next two parameters to the frequency-domaine solver are the tolerance tol for the iterative solver (10−8, by default) and a maximum number of iterations maxiters (104, by default).
In this paper the attention is focused on new improvements in the numerical method obtained by using the age of the fluid to accelerate the convergence of the iterative solver and by calculating the Jacobian matrix analytically rather than numerically.
The values of ϵ are limited by a lower bound of 10−5, and in case of divergence of the iterative solver for (epsilonle10^{-5}) a direct solver is used instead.
The proposed formulation is numerically solved by means of Galerkin method of moments on uniform grids, allowing for acceleration of the matrix vector products associated with the iterative solver with the help of FFT.
These formulations give better results and are faster than the approximation obtained by a dielectric media with high permittivity because of a smaller number of degrees of freedom and a smaller number of steps of the iterative solver.
One group of researchers used Richardson extrapolation to construct a good initial guess for the iterative solver.
This paper presents the iterative solvers as a means by which a dramatic reduction in computation time can be achieved as compared to conventional direct methods.
In both cases, the linear systems of the collocation schemes using the new basis can be solved by an iterative solver within a few iterations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com