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FFT-accelerated computation of the Dirichlet-to-Neumann map for inhomogeneous exterior Helmholtz problems using the method of fundamental solutions
An efficient numerical method is proposed for computing the Dirichlet-to-Neumann (DtN) map associated with the exterior Dirichlet problem for the two-dimensional Helmholtz equation with an inhomogeneous term. The solution in the subdomain exterior to a circular artificial boundary is approximated by
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