An inverse contact problem is a classical ill-posed problem in the sense of Hadamard. In this paper we develop a numerical computational method for solving an inverse contact problem in elasticity. Based on the Tikhonov regularization technique, we transform the original problem into an optimization problem so that a stable numerical approximation to the solution can be obtained by a standard finite element method. A convergence analysis on the proposed numerical algorithm is also given by a conditional stability estimate.
Editor-in-Chief: Kabanikhin, Sergey I.
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Numerical computation of an inverse contact problem in elasticity
∗Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon Tong, HongKong. E-mail: maychon@cityu.edu.hk
†School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu Province 730000, China. E-mail: tingwei@lzu.edu.cn
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 7, Pages 651–664, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406779802004,
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