Abstract
The conditioning of the plane wave approximation finite element model for the Helmholtz equation is analysed when the number of the planar waves and the problem wave number are increased. It appears that conditioning for problems with low wave numbers is poorer than for high wave numbers and that it grows exponentially when the number of the approximating plane waves increases. It is shown that a reasonable choice of a reduced number of the approximating plane waves lead to good quality solutions.
| Original language | English |
|---|---|
| Title of host publication | ECCOMAS 2000 |
| Subtitle of host publication | European Congress on Computational Methods in Applied Sciences and Engineering |
| Publisher | ECCOMAS |
| ISBN (Print) | 8489925704, 9788489925700 |
| Publication status | Published - 2000 |
| Event | European Congress on Computational Methods in Applied Sciences and Engineering 2000 - Barcelona, Spain Duration: 11 Sept 2000 → 14 Sept 2000 |
Conference
| Conference | European Congress on Computational Methods in Applied Sciences and Engineering 2000 |
|---|---|
| Abbreviated title | ECCOMAS 2000 |
| Country/Territory | Spain |
| City | Barcelona |
| Period | 11/09/00 → 14/09/00 |
Keywords
- Condition number
- Direction of propagation
- Helmholtz equation
- Plane wave approximation
- Wave scattering
ASJC Scopus subject areas
- Artificial Intelligence
- Applied Mathematics