On the inverse problem of identifying Lamé coefficients in linear elasticity

Authors:
B. Jadamba;A. A. Khan;F. Raciti
Affiliations:
C/O Dr. A.A. Khan, Department of Mathematics and Computer Science, 1001 New Science Facility, Northern Michigan University, Marquette, MI-49855, USA;Department of Mathematics and Computer Science, 1001 New Science Facility, Northern Michigan University, Marquette, MI-49855, USA;Department of Mathematics and Computer Science, Engineering Faculty of University of Catania, V.le A. Doria, 5, 95125 Catania, Italy
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

An output least-squares type functional is employed to identify the Lame parameters in linear elasticity. To be able to identify even the discontinuous Lame parameters the regularization is performed by the BV-seminorm. Finite element discretization is used and convergence analysis is given. Numerical examples are given to show the feasibility of the approach.