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

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