Name
Title | ||
|---|---|---|
On spurious solutions in finite element approximations of resonances in open systems. |
Abstract | ||
|---|---|---|
In this paper, we discuss problems arising when computing resonances with a finite element method. In the pre-asymptotic regime, we detect for the one dimensional case, spurious solutions in finite element computations of resonances when the computational domain is truncated with a perfectly matched layer (PML) as well as with a Dirichlet-to-Neumann map (DtN). The new test is based on the Lippmann–Schwinger equation and we use computations of the pseudospectrum to show that this is a suitable choice. Numerical simulations indicate that the presented test can distinguish between spurious eigenvalues and true eigenvalues also in difficult cases. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.camwa.2017.07.020 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Scattering resonances,Lippmann–Schwinger equation,Nonlinear eigenvalue problems,Acoustic resonator,Dielectric resonator,Bragg resonator | Perfectly matched layer,Discretization,Mathematical analysis,Finite element method,Open system (systems theory),Spurious relationship,Quadratic eigenvalue problem,Eigenvalues and eigenvectors,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
74 | 10 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Juan Carlos Araujo-Cabarcas | 1 | 0 | 0.34 |
| Christian Engström | 2 | 13 | 4.97 |