Jj. Shirron, AN ITERATIVE SOLUTION SCHEME FOR THE EXTERIOR NEUMANN PROBLEM FOR DELTA-2 USING FINITE-ELEMENTS IN A BOUNDED DOMAIN(KAPPA), The Journal of the Acoustical Society of America, 94(2), 1993, pp. 1121-1125
A scheme is given for approximating the solution of the exterior Neuma
nn problem for the Helmholtz equation that employs the finite element
method in an artificially truncated domain. A sequence of approximate
solutions is produced by iteration. The current iterate is used to com
pute a boundary condition on the truncating surface for the next itera
te. While precise conditions under which the proposed method is conver
gent are not yet known, numerical experiments indicate its robustness.