Abstract
We are concerned with the problem of computing electromagnetic guided waves in a closed, inhomogeneous, cylindrical wave guide. These waves correspond to solutions of an eigenvalue problem, and classical methods produce, in addition to approximations to the solutions, spurious modes which are particularly troublesome because they correspond to nonzero approximations of the 0 eigenvalue. A nonconforming finite element method for the calculation of guided waves without spurious modes is introduced and analyzed.
| Original language | English |
|---|---|
| Pages (from-to) | 1494-1525 |
| Number of pages | 32 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 33 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jan 1996 |
Keywords
- Eigenvalue problems
- Electromagnetic guided waves
- Mixed finite elements
- Nonconforming finite elements