@Article{EAJAM-4-189, author = {Yan-Bo Ma and Fu-Rong Lin}, title = {Conjugate Gradient Method for Estimation of Robin Coefficients}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {4}, number = {2}, pages = {189--204}, abstract = {
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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.101213.260314a}, url = {http://global-sci.org/intro/article_detail/eajam/10831.html} }