Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation
β Scribed by Xiangtuan Xiong, Xiaochen Zhao, Junxia Wang
- Book ID
- 120755096
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 434 KB
- Volume
- 63
- Category
- Article
- ISSN
- 1017-1398
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π SIMILAR VOLUMES
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 two-level ΓΏnite element method is introduced and its application to the Helmholtz equation is considered. The method retains the desirable features of the Galerkin method enriched with residual-free bubbles, while it is not limited to discretizations using elements with simple geometry. The method