Abstract
For a Helmholtz equation Δu(x) + κ 2 u(x) = f(x) in a region of R s, s ≥ 2, where Δ is the Laplace operator and κ = a + ib is a complex number with b ≥ 0, a particular solution is given by a potential integral. In this paper the potential integral is approximated by using radial bases with the order of approximation derived.
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Communicated by Aihui Zhou.
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Li, X. Approximation of potential integral by radial bases for solutions of Helmholtz equation. Adv Comput Math 30, 201–230 (2009). https://doi.org/10.1007/s10444-008-9065-8
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DOI: https://doi.org/10.1007/s10444-008-9065-8