Numerical Analysis of Inverse Elasticity Problemwith Signorini's Condition
2016 ◽
Vol 20
(4)
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pp. 1045-1070
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Keyword(s):
AbstractAn optimal control problem is considered to find a stable surface traction, which minimizes the discrepancy between a given displacement field and its estimation. Firstly, the inverse elastic problem is constructed by variational inequalities, and a stable approximation of surface traction is obtained with Tikhonov regularization. Then a finite element discretization of the inverse elastic problem is analyzed. Moreover, the error estimation of the numerical solutions is deduced. Finally, a numerical algorithm is detailed and three examples in two-dimensional case illustrate the efficiency of the algorithm.
2011 ◽
Vol 120
(2)
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pp. 345-386
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2013 ◽
Vol 34
(8)
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pp. 861-895
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1989 ◽
Vol 8
(5)
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pp. 468-478
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2019 ◽
Vol 57
(1)
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pp. 129-162
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1984 ◽
Vol 3
(1)
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pp. 17-33
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2008 ◽
Vol 47
(3)
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pp. 1150-1177
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2021 ◽
Vol 185
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pp. 771-782