TY - JOUR
T1 - An Inverse Diffraction Problem: Shape Reconstruction
AU - Yanfeng Kong, Zhenping Li & Xiangtuan Xiong
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 - <p style="text-align: justify;">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.</p>