Approximation of potential integral by radial bases for solutions of Helmholtz equation |
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Authors: | Xin Li |
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Institution: | (1) Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, NV 89154-4020, USA |
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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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Keywords: | Potential integral Radial bases Helmholtz equation |
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