An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation
β Scribed by Liviu Marin
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 601 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0178-7675
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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 paper is concerned with the problem of reconstruction of acoustic or electromagnetic field from inexact data given on an open part of the boundary of a given domain. A regularization concept is presented for the moment problem that is equivalent to a Cauchy problem for the Helmholtz equation. A