Numerical computation of an inverse contact problem in elasticity

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

2 Scopus Citations
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Original languageEnglish
Pages (from-to)651-664
Journal / PublicationJournal of Inverse and Ill-Posed Problems
Volume14
Issue number7
Publication statusPublished - 2006

Abstract

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. © VSP 2006.