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Y. C. Hon, T. Wei

Numerical computation of an inverse contact problem in elasticity

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.

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 14, 12/2006
Pages: 651 - 664

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