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Original Articles

Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters

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Pages 349-367 | Received 03 Aug 2006, Accepted 16 Jul 2007, Published online: 21 Apr 2008

Figures & data

Figure 1. The exact coefficients μ and the estimated μ on a mesh with 2500 elements. The plots also show the element-wise error and the nodal error.

Figure 1. The exact coefficients μ and the estimated μ on a mesh with 2500 elements. The plots also show the element-wise error and the nodal error.

Figure 2. The exact coefficients μ and the estimated μ on a mesh with 545 elements. The plots also show the element-wise error and the nodal error.

Figure 2. The exact coefficients μ and the estimated μ on a mesh with 545 elements. The plots also show the element-wise error and the nodal error.

Figure 3. Exact coefficient (top left); conefficient estimated by BV regularization (top right); coefficient estimated by H1 seminorm regularization (bottom left); coefficient estimated by L2 norm regularization (bottom right).

Figure 3. Exact coefficient (top left); conefficient estimated by BV regularization (top right); coefficient estimated by H1 seminorm regularization (bottom left); coefficient estimated by L2 norm regularization (bottom right).

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