We are concerned with an integral method applied to the solution of the Helmholtz equation where the linear system is solved using an iterative method. We need to perform matrix-vector products whose time and memory requirements increase as a function of the wavenumber . Many methods have been devel
Stability of the High Frequency Fast Multipole Method for Helmholtz’ Equation in Three Dimensions
✍ Scribed by Martin Nilsson
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 983 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The nonlinear Helmholtz equation (NLH) models the propagation of electromagnetic waves in Kerr media, and describes a range of important phenomena in nonlinear optics and in other areas. In our previous work, we developed a fourth order method for its numerical solution that involved an iterative so
For high wave numbers, the Helmholtz equation su!ers the so-called &pollution e!ect'. This e!ect is directly related to the dispersion. A method to measure the dispersion on any numerical method related to the classical Galerkin FEM is presented. This method does not require to compute the numerical