An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography

An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography

Year:    2008

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8626

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 297–309

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    BLT problem Tikhonov regularization Optimization problem A priori error estimate.