TY - JOUR T1 - An Inverse Diffraction Problem: Shape Reconstruction JO - East Asian Journal on Applied Mathematics VL - 4 SP - 342 EP - 360 PY - 2018 DA - 2018/02 SN - 5 DO - http://doi.org/10.4208/eajam.310315.250915a UR - https://global-sci.org/intro/article_detail/eajam/10918.html KW - Inverse diffraction problem, ill-posed problems, Tikhonov regularisation, stability estimate, error estimate, SECB. AB -

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.