Some remarks about Boundary Element Method application of second-order versus zero-order to Diffuse Optical Tomography

In this article, two boundary elements approximation has been considered focusing the readers' attention on some numerical aspects of such approximation. As an example, the Diffuse Optical Tomography was selected with the relatively simple geometry of the region. Then, the Helmholtz equation converted to the necessary form in the frequency domain was considered. Next, the inverse problem was formulated as the optimal shape design one. Finally, those two different approximations were compared, and then the results were presented. Finally, some conclusions were formulated at the end of the paper.