TY - JOUR
T1 - Numerical computation of an inverse contact problem in elasticity
AU - Hon, Y. C.
AU - Wei, T.
PY - 2006/12/1
Y1 - 2006/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33750589975&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33750589975&origin=recordpage
U2 - 10.1515/156939406779802004
DO - 10.1515/156939406779802004
M3 - RGC 21 - Publication in refereed journal
SN - 0928-0219
VL - 14
SP - 651
EP - 664
JO - Journal of Inverse and Ill-Posed Problems
JF - Journal of Inverse and Ill-Posed Problems
IS - 7
ER -