@Article{EAJAM-5-342, author = {Yanfeng Kong, Zhenping Li and Xiangtuan Xiong}, title = {An Inverse Diffraction Problem: Shape Reconstruction}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {5}, number = {4}, pages = {342--360}, abstract = {
An inverse diffraction problem is considered. Both classical Tikhonov regularisation and a slow-evolution-from-the-continuation-boundary (SECB) method are used to solve the ill-posed problem. Regularisation error estimates for the two methods are compared, and the SECB method is seen to be an improvement on the classical Tikhonov method. Two numerical examples demonstrate their feasibility and efficiency.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.310315.250915a}, url = {http://global-sci.org/intro/article_detail/eajam/10918.html} }