Year: 2015
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.310315.250915a
East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 4 : pp. 342–360
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Inverse diffraction problem ill-posed problems Tikhonov regularisation stability estimate error estimate SECB.