On the Condition Number of Integral Equations in Acoustics using Modified Fundamental Solutions |
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| Authors: | KLEINMAN, R. E. KRESS, R. |
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| Affiliation: | Department of Mathematical Sciences, University of Delaware Newark, Delaware 19711, U.S.A.
Institut f?r Numerische und Angewandte Mathematik, Universit?t G?ttingen 34 G?ttingen, F.R. Germany |
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| Abstract: | To overcome the non-uniqueness problem arising in integral equationsfor the exterior boundary-value problems for the Helmholtz equation,Jones recently suggested adding a series of outgoing waves tothe free-space fundamental solution. We present an analysison the appropriate choice of the coefficients occurring in thisseries in order to minimize the condition number of the integralequations. |
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