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Volume 26, Issue 3
An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography

Wei Gong, Ruo Li, Ningning Yan & Weibo Zhao

J. Comp. Math., 26 (2008), pp. 297-309.

Published online: 2008-06

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  • Abstract

This paper is concerned with an ill-posed problem which results from the area of molecular imaging and is known as BLT problem. Using Tikhonov regularization technique, a quadratic optimization problem can be formulated. We provide an improved error estimate for the finite element approximation of the regularized optimization problem. Some numerical examples are presented to demonstrate our theoretical results.

  • Keywords

BLT problem, Tikhonov regularization, Optimization problem, A priori error estimate.

  • AMS Subject Headings

49J20, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-297, author = {Wei Gong, Ruo Li, Ningning Yan and Weibo Zhao}, title = {An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {3}, pages = {297--309}, abstract = {

This paper is concerned with an ill-posed problem which results from the area of molecular imaging and is known as BLT problem. Using Tikhonov regularization technique, a quadratic optimization problem can be formulated. We provide an improved error estimate for the finite element approximation of the regularized optimization problem. Some numerical examples are presented to demonstrate our theoretical results.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8626.html} }
TY - JOUR T1 - An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography AU - Wei Gong, Ruo Li, Ningning Yan & Weibo Zhao JO - Journal of Computational Mathematics VL - 3 SP - 297 EP - 309 PY - 2008 DA - 2008/06 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8626.html KW - BLT problem, Tikhonov regularization, Optimization problem, A priori error estimate. AB -

This paper is concerned with an ill-posed problem which results from the area of molecular imaging and is known as BLT problem. Using Tikhonov regularization technique, a quadratic optimization problem can be formulated. We provide an improved error estimate for the finite element approximation of the regularized optimization problem. Some numerical examples are presented to demonstrate our theoretical results.

Wei Gong, Ruo Li, Ningning Yan and Weibo Zhao. (2008). An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography. Journal of Computational Mathematics. 26 (3). 297-309. doi:
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