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Compares shape reconstruction methods using SECB and Tikhonov regularization, highlighting advantages of SECB.
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.
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Kong et al. (2015) studied this question.
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