AN IMPROVED ERROR ANALYSIS FOR FINITE ELEMENT APPROXIMATION OF BIOLUMINESCENCE TOMOGRAPHY

• 来源期刊: 计算数学（英文版）
• 关键词: BLT problem Tikhonov regularization Optimization problem A priori error estimate
• 年，卷（期）: 2008,（3）
• 页码范围: 297-309
• 页数: 13页
• 语种: 英文

摘要

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.