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A new spatial regularization scheme for the identification of the geometric shape of an inclusion in a finite body
Author(s) -
Lee Hae Sung,
Kim Yong Han,
Park Cheon Jong,
Park Hyun Woo
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19991110)46:7<973::aid-nme730>3.0.co;2-q
Subject(s) - regularization (linguistics) , finite element method , mathematics , regularization perspectives on support vector machines , shape optimization , algorithm , displacement field , minification , mathematical optimization , mathematical analysis , computer science , inverse problem , tikhonov regularization , artificial intelligence , engineering , structural engineering
This paper presents a system identification scheme to determine the geometric shape of an inclusion in a finite body. The proposed algorithm is based on the minimization of the least‐squared errors between the measured displacement field and calculated displacement field by the finite element model. The domain parameterization technique is adopted to manipulate the shape variation of an inclusion. To stabilize the optimization process, a new regularization function defined by the length of the boundary curve of an inclusion is added to the error function. A variable regularization factor scheme is proposed for a consistent regularization effect. The modified Newton method with the active set method is adopted for optimization. Copyright © 1999 John Wiley & Sons, Ltd.