An efficient numerical algorithm for computing densely distributed positive interior transmission eigenvalues. (English) Zbl 1366.78021
The authors propose a numerical algorithm to compute positive interior transmission eigenvalues for the two-dimensional acoustic scattering problem derived from the Maxwell system in non-reciprocal and non-chiral media. The numerical simulations indicate that half of the positive eigenvalues are densely distributed in some interval near the origin. The numerical results provided also illustrate that the eigenvalue curves can be approximated by nonlinear functions.
Reviewer: Teodora-Liliana Rădulescu (Craiova)
MSC:
| 78M10 | Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory |
| 78A25 | Electromagnetic theory (general) |
| 65F15 | Numerical computation of eigenvalues and eigenvectors of matrices |
| 65N25 | Numerical methods for eigenvalue problems for boundary value problems involving PDEs |
| 76Q05 | Hydro- and aero-acoustics |
Keywords:
two-dimensional transmission eigenvalue problem; Tellegen model; quadratic Jacobi-Davidson method; non-equivalence deflationSoftware:
Algorithm 922References:
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