@ARTICLE{Gumerov2008-cy,
	title     = "Fast multipole accelerated boundary element methods for the {3D}
	Helmholtz equation",
	author    = "Gumerov, Nail A and Duraiswami, Ramani",
	abstract  = "The development of a fast multipole method accelerated iterative
	solution of the boundary element equations for large problems
	involving hundreds of thousands elements for the Helmholtz
	equations in 3D is described. The BEM requires several
	approximate computations (numerical quadrature, approximations
	of the boundary shapes using elements) and the convergence
	criterion for iterative computation. When accelerated using the
	FMM, these different errors must all be chosen in a way that on
	the one hand excess work is not done and on the other that the
	error achieved by the overall computation is acceptable. Details
	of translation operators used, choices of representations, and
	boundary element integration consistent with these
	approximations are described. A novel preconditioner for
	accelerating convergence, using a low accuracy FMM accelerated
	solver as a right preconditioner is also described. Results of
	the developed and tested solvers for boundary value problems for
	the Helmholtz equations using the solver are presented for the
	number of unknowns N <= 106 and product of wavenumber k times
	domain size D, kD <= 200 and show good performance close to
	theoretical expectations.",
	publisher = "drum.lib.umd.edu",
	month     =  jan,
	year      =  2008,
	keywords  = "Technical Report"
}

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