Abstract
We consider the identification ofa diffusion parameter in a second order elliptic equation in two dimensions by interior measurements. The diffusion parameter is assumed to have discontinuities. For its reconstruction we propose regularization algorithms with an adaptive grid. The grid is adapted according to a measure of the smoothness of the regularized solution. For the numerical computation we compare several iterative methods such as the minimal error method, the steepest descent method, and an inexact iteratively regularized Gauss--Newton method. The computations show that these algorithms can effectively identify the discontinuities.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
