In this paper, we consider the Cauchy problem for the Helmholtz equation in a rectangle, where the Cauchy data is given for y = 0 and boundary data are for x = 0 and x = Ο. The solution is sought in the interval 0 < y β€ 1. A quasi-reversibility method is applied to formulate regularized solutions wh
A quasi-reversibility regularization method for the Cauchy problem of the Helmholtz equation
β Scribed by Zhang, H. W.; Qin, H. H.; Wei, T.
- Book ID
- 127162189
- Publisher
- Taylor and Francis Group
- Year
- 2011
- Tongue
- English
- Weight
- 403 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0020-7160
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper, several boundary element regularization methods, such as iterative, conjugate gradient, Tikhonov regularization and singular value decomposition methods, for solving the Cauchy problem associated to the Helmholtz equation are developed and compared. Regularizing stopping
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