Abstract
Considering pure transmission scattering problems in piecewise constant media, we derive an exact analytic formula for the spectrum of the corresponding local multi-trace boundary integral operators in the case where the geometrical configuration does not involve any junction point and all wave numbers are equal. We deduce from this the essential spectrum in the case where wave numbers vary. Numerical evidences of these theoretical results are also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 961-983 |
| Number of pages | 23 |
| Journal | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) |
| Volume | 81 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Dec 2016 |
Keywords
- Boundary integral equation
- Multi-domain
- Multi-trace
- Wave propagation
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