An iterative method for the Helmholtz equation
โ Scribed by Alvin Bayliss; Charles I Goldstein; Eli Turkel
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 778 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An iterative solver for a pair of coupled partial differential equations that are related to the Maxwell equations is discussed. The convergence of the scheme depends on the choice of two parameters. When the first parameter is fixed, the scheme is seen to be a successive under-relaxation scheme in
In this paper, the iterative algorithm proposed by Kozlov et al. [Comput. Maths. Math. Phys. 31 (1991) 45] for obtaining approximate solutions to the ill-posed Cauchy problem for the Helmholtz equation is analysed. The technique is then numerically implemented using the boundary element method (BEM)
The eigenvalue problem for the Laplace operator is numerical investigated using the boundary integral equation (BIE) formulation. Three methods of discretization are given and illustrated with numerical examples.