The exterior Robin problem for the Helmholtz equation |
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Authors: | John F Ahner |
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Institution: | Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37235 U.S.A. |
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Abstract: | A new method is given for solving the exterior Robin problem for the Helmholtz equation. The problem is reformulated as a new integral equation which is continuous as the field point approaches the boundary. It is shown that its solution can be represented as a convergent Neumann series for convex surfaces, for small values of the wave number. Examples are included which illustrate the method. |
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