An Inverse Diffraction Problem: Shape Reconstruction

An Inverse Diffraction Problem: Shape Reconstruction

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.