Two regularization methods for the Cauchy problems of the Helmholtz equation
By Hai-Hua Qin, Ting Wei. 2010
48 citations recorded by the source corpus.
In this paper, the Cauchy problems for the Helmholtz equation are investigated. We propose two regularization methods to solve them. Convergence estimates are presented under an a-priori bounded assumption for the exact solution. Finally, the numerical examples show that the proposed numerical methods work effectively.
Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/29513bdbd8f2e48060808d8d77d0cc78216ab6fa
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In Atomic and Molecular Physics, and Optics
- Bengt-Ove Turesson
- Vladimir A. Kozlov
- Andreas Karageorghis
- Daniel Lesnic
- Lydie Mpinganzima
- Fredrik Berntsson
- Liviu Marin
- Wen Chen
In Mathematical Physics
- Andreas Karageorghis
- Daniel Lesnic
- Liviu Marin
- Bengt-Ove Turesson
- Vladimir A. Kozlov
- Lydie Mpinganzima
- Fredrik Berntsson
- Wen Chen
In Mechanics of Materials
- Andreas Karageorghis
- Daniel Lesnic
- Liviu Marin
- Bengt-Ove Turesson
- Vladimir A. Kozlov
- Lydie Mpinganzima
- Fredrik Berntsson
- Wen Chen
Citations in the corpus
- An alternating iterative procedure for the Cauchy problem for the Helmholtz equation (2014, methodology): “Email: lydie.mpinganzima@liu.se © 2013 Taylor & Francis for solving the Cauchy problem for the Helmholtz equation such as the potential function method by Sun et al. [11], the modified Tikhonov regularization and the truncation method by Qin et al. [12,13], the modified regularization method based o”
- A survey of applications of the MFS to inverse problems (2011, methodology): “Cauchy problems for the Helmholtz equation were also considered in [63].”