Sparse approximate inverse preconditioners for electromagnetic surface scattering simulations

Stuart Collin Hawkins, Mahadevan Ganesh

Abstract


Simulation of electromagnetic waves scattered by a connected three dimensional non-convex obstacle at medium frequencies (where the size of the obstacle is 10 to 100 times the incident wavelength) requires a non-asymptotic approach. Standard boundary element schemes at such frequencies require millions of unknowns. However, recently developed high-order algorithms require only tens of thousands of unknowns at medium frequencies for a class of three dimensional obstacles. At such frequencies we use a sparse approximation to the scattering matrix and so iterative solvers are required. We describe an efficient scheme to solve the associated linear systems using sparse approximate inverse preconditioners. The sparse preconditioners developed in this work facilitate efficient solutions of complex dense linear systems arising in electromagnetic scattering simulations.

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DOI: http://dx.doi.org/10.21914/anziamj.v49i0.321



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