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The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium

โœ Scribed by Clason, Christian; Klibanov, Michael V.

Book ID
118190125
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
657 KB
Volume
30
Category
Article
ISSN
1064-8275

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On a quasi-reversibility regularization
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โœ Ai-Lin Qian; Xiang-Tuan Xiong; Yu-Jiang Wu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 609 KB

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 = ฯ€. The solution is sought in the interval 0 < y โ‰ค 1. A quasi-reversibility method is applied to formulate regularized solutions wh