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Volume 39, Issue 3
Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations

El Madkouri Abdessamad & Ellabib Abdellatif

DOI: 10.4208/jcm.1912-m2019-0121

J. Comp. Math., 39 (2021), pp. 311-332.

Published online: 2021-04

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  • 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.

  • Keywords

Boundary element method, Inverse source problem, Quasi-Newton methods.

  • AMS Subject Headings

65N38, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

abdessamad.elmadkouri@edu.uca.ma (El Madkouri Abdessamad)

a.ellabib@uca.ac.ma (Ellabib Abdellatif)

  • BibTex
  • RIS
  • TXT
@Article{JCM-39-311, author = {Abdessamad , El Madkouri and Abdellatif , Ellabib}, title = {Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations}, journal = {Journal of Computational Mathematics}, year = {2021}, volume = {39}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1912-m2019-0121}, url = {http://global-sci.org/intro/article_detail/jcm/18743.html} }
TY - JOUR T1 - Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations AU - Abdessamad , El Madkouri AU - Abdellatif , Ellabib JO - Journal of Computational Mathematics VL - 3 SP - 311 EP - 332 PY - 2021 DA - 2021/04 SN - 39 DO - http://doi.org/10.4208/jcm.1912-m2019-0121 UR - https://global-sci.org/intro/article_detail/jcm/18743.html KW - Boundary element method, Inverse source problem, Quasi-Newton methods. AB -

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.

Abdessamad , El Madkouri and Abdellatif , Ellabib. (2021). Source Term Identification with Discontinuous Dual Reciprocity Approximation and Quasi-Newton Method from Boundary Observations. Journal of Computational Mathematics. 39 (3). 311-332. doi:10.4208/jcm.1912-m2019-0121
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