Ewald's Method Revisited: Rapidly Convergent Series Representations of Certain Green's Functions |
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Authors: | Vassilis G. Papanicolaou |
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Affiliation: | (1) Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas, 67260-0033 |
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Abstract: | We propose a justification of Ewald's method of obtaining rapidly convergent series for the Green's function of the 3-dimensional Helmholtz equation. Our point of view enables us to extend the method to Green's functions for the Helmholtz equation in certain domains of d with quite general boundary conditions. |
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Keywords: | Helmholtz equation Green's function Ewald's method |
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