The Factorization Method for an inverse fluid-solid interaction scattering problem
2012
In this paper we justify the Factorization Method for a coupled acoustic-elastic
medium. Under natural assumptions on the data we prove an explicit form of
the characteristic function of the scattering medium $D$ where only the spectral
data of the far field operator enter. This information is provided by the
knowledge of the far field patterns for all incident plane waves. In the last
section we investigate the corresponding interior transmission eigenvalue
problem and prove that the eigenvalues form a discrete set.
Keywords:
- Incomplete LU factorization
- Mathematics
- Eigenvalues and eigenvectors
- Mathematical analysis
- Inverse scattering transform
- Factorization
- Scattering
- Inverse scattering problem
- Quantum inverse scattering method
- Euler's factorization method
- Operator (computer programming)
- Characteristic function (probability theory)
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
13
References
21
Citations
NaN
KQI