Skip to Main content Skip to Navigation
Journal articles

Essential spectrum of local multi-trace boundary integral operators

Xavier Claeys 1, 2
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, INSMI - Institut National des Sciences Mathématiques et de leurs Interactions
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 equal. We deduce from this the essential spectrum in the case where wave numbers vary. Numerical evidences of these theoretical results are also presented.
Document type :
Journal articles
Complete list of metadatas

Cited literature [26 references]  Display  Hide  Download
Contributor : Xavier Claeys <>
Submitted on : Tuesday, January 5, 2016 - 5:59:08 PM
Last modification on : Friday, March 27, 2020 - 3:34:41 AM
Long-term archiving on: : Thursday, April 7, 2016 - 3:40:51 PM


Files produced by the author(s)


  • HAL Id : hal-01251212, version 1
  • ARXIV : 1508.00556


Xavier Claeys. Essential spectrum of local multi-trace boundary integral operators. IMA Journal of Applied Mathematics, Oxford University Press (OUP), 2016. ⟨hal-01251212⟩



Record views


Files downloads