Volume 32, Issue 5
Variational Iterative Algorithms in Photoacoustic Tomography with Variable Sound Speed

Tangjie Lv & Tie Zhou

J. Comp. Math., 32 (2014), pp. 579-600.

Published online: 2014-10

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  • Abstract

In this paper, we investigate the adjoint equation in photoacoustic tomography with variable sound speed, and propose three variational iterative algorithms. The basic idea of these algorithms is to compute the original equation and the adjoint equation iteratively. We present numerical examples and show the well performance of these variational iterative algorithms.

  • Keywords

Photoacoustic Tomography Variational iterative algorithms

  • AMS Subject Headings

35L05 35R30 65R32 92C55.

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COPYRIGHT: © Global Science Press

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@Article{JCM-32-579, author = {Tangjie Lv and Tie Zhou}, title = {Variational Iterative Algorithms in Photoacoustic Tomography with Variable Sound Speed}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {5}, pages = {579--600}, abstract = {

In this paper, we investigate the adjoint equation in photoacoustic tomography with variable sound speed, and propose three variational iterative algorithms. The basic idea of these algorithms is to compute the original equation and the adjoint equation iteratively. We present numerical examples and show the well performance of these variational iterative algorithms.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1403-m4433}, url = {http://global-sci.org/intro/article_detail/jcm/9905.html} }
TY - JOUR T1 - Variational Iterative Algorithms in Photoacoustic Tomography with Variable Sound Speed AU - Tangjie Lv & Tie Zhou JO - Journal of Computational Mathematics VL - 5 SP - 579 EP - 600 PY - 2014 DA - 2014/10 SN - 32 DO - http://doi.org/10.4208/jcm.1403-m4433 UR - https://global-sci.org/intro/article_detail/jcm/9905.html KW - Photoacoustic Tomography KW - Variational iterative algorithms AB -

In this paper, we investigate the adjoint equation in photoacoustic tomography with variable sound speed, and propose three variational iterative algorithms. The basic idea of these algorithms is to compute the original equation and the adjoint equation iteratively. We present numerical examples and show the well performance of these variational iterative algorithms.

Tangjie Lv & Tie Zhou. (1970). Variational Iterative Algorithms in Photoacoustic Tomography with Variable Sound Speed. Journal of Computational Mathematics. 32 (5). 579-600. doi:10.4208/jcm.1403-m4433
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