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 - <p style="text-align: justify;">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.</p>