Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations
Year: 2021
Author: El Madkouri Abdessamad, Ellabib Abdellatif
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 3 : pp. 311–332
Abstract
This paper deals with discontinuous dual reciprocity boundary element method for solving an inverse source problem. The aim of this work is to determine the source term in elliptic equations for nonhomogenous anisotropic media, where some additional boundary measurements are required. An equivalent formulation to the primary inverse problem is established based on the minimization of a functional cost, where a regularization term is employed to eliminate the oscillations of the noisy data. Moreover, an efficient algorithm is presented and tested for some numerical examples.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1912-m2019-0121
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 3 : pp. 311–332
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Boundary element method Inverse source problem Quasi-Newton methods.
Author Details
-
Retrieving the Robin coefficient from single Cauchy data in elliptic systems
El Madkouri, A.
Ellabib, A.
Mathematical Modeling and Computing, Vol. 9 (2022), Iss. 3 P.663
https://doi.org/10.23939/mmc2022.03.663 [Citations: 0]