Conjugate Gradient Method for Estimation of Robin Coefficients. Issue 2 (May 2014)

• Record Type: Journal Article
• Authors: Ma, Yan-Bo; Lin, Fu-Rong
• Is Part Of: East Asian journal on applied mathematics. Volume 4:Issue 2(2014)
• Page Start: 189
• Page End: 204
• Publication Date: 2014-05
• Subjects: 45Q05, -- 65N21; Robin inverse problem, -- ill-posedness, -- boundary integral equation, -- regularisation, -- conjugate gradient method; Applied mathematics -- Periodicals; 519.05
• DOI: 10.4208/eajam.101213.260314a
• Languages: English
• ISSNs: 2079-7362

Abstract

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.