A Preconditioned Krylov Subspace Iterative Methods for Inverse Source Problem by Virtue of a Regularizing LM-DRBEM

Madkouri, Abdessamad El; Ellabib, Abdellatif

doi:10.1007/s40819-020-00846-x

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2022

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“…The problem is transformed into an optimization one and the forward problem is approximated using the discontinuous dual reciprocity boundary element method, whereas two automated regularizing algorithms are presented and used to stably recover the unknown Robin coefficient. The discontinuous dual reciprocity method in conjuncture with regularized quasi-Newton algorithm was established by the authors for the case of inverse source problem, see [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Retrieving the Robin coefficient from single Cauchy data in elliptic systems

Madkouri¹,

Ellabib²

2022

Math. Model. Comput.

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The purpose of this work is to identify a Robin coefficient from available measurements on the accessible part of the boundary. After recasting the inverse problem as an optimization problem, we study the issue of identifiability, stability, and identification. For the reconstruction process, two regularized algorithms are designed, and the forward problem is approximated using the discontinuous dual reciprocity method. The accuracy of the proposed approaches is tested in the case of noise–free and noisy data and the findings are very promising and encouraging.

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Section: Introductionmentioning

confidence: 99%