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Volume 4, Issue 2
Conjugate Gradient Method for Estimation of Robin Coefficients

Yan-Bo Ma & Fu-Rong Lin

DOI: 10.4208/eajam.101213.260314a

East Asian J. Appl. Math., 4 (2014), pp. 189-204.

Published online: 2018-02

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  • 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.

  • Keywords

Robin inverse problem, ill-posedness, boundary integral equation, regularisation, conjugate gradient method.

  • AMS Subject Headings

45Q05, 65N21

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
TY - JOUR T1 - Conjugate Gradient Method for Estimation of Robin Coefficients AU - Yan-Bo Ma & Fu-Rong Lin 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 -

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.

Yan-Bo Ma and Fu-Rong Lin. (2018). Conjugate Gradient Method for Estimation of Robin Coefficients. East Asian Journal on Applied Mathematics. 4 (2). 189-204. doi:10.4208/eajam.101213.260314a
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