TY - JOUR T1 - An Improved Error Analysis for Finite Element Approximation of Bioluminescence Tomography 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.