TY - JOUR
T1 - Conjugate Gradient Method for Estimation of Robin Coefficients
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 189
EP - 204
PY - 2018
DA - 2018/02
SN - 4
DO - http://doi.org/10.4208/eajam.101213.260314a
UR - https://global-sci.org/intro/article_detail/eajam/10831.html
KW - Robin inverse problem, ill-posedness, boundary integral equation, regularisation, conjugate gradient method.
AB - <p style="text-align: justify;">We consider a Robin inverse problem associated with the Laplace equation,
which is a severely ill-posed and nonlinear. We formulate the problem as a boundary
integral equation, and introduce a functional of the Robin coefficient as a regularisation
term. A conjugate gradient method is proposed for solving the consequent regularised
nonlinear least squares problem. Numerical examples are presented to illustrate the
effectiveness of the proposed method.</p>