The body force in a three-dimensional Lamé system: identification and regularization

Trong, Dang Duc; Nam, Phan Thành; Thuc, Phung Trong

doi:10.1080/17415977.2011.638068

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“…Identification and reconstruction of body forces from boundary measurements is an inverse problem with several applications in nondestructive testing (see e.g. [12,25]). The problem has been addressed by several authors, for both time dependent and independent problems, for instance in the context of heat and acoustic problems.…”

Section: Introductionmentioning

confidence: 99%

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Identification and reconstruction of elastic body forces

Alves¹,

Martins

Roberty

2014

Inverse Problems

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We address the identification and reconstruction of 2D elastostatic and elastodynamic body forces from pairs of displacement and traction boundary data. As in the scalar acoustic case, an elastic body force cannot be fully identified from a single boundary measurement. We present some partial identification results for a single and multiple boundary measurements. We show that full identification can be obtained by considering boundary measurements along a full set of frequencies. We present and test two numerical methods for retrieving the body force.

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Section: Introductionmentioning

confidence: 99%

“…In [15], a similar problem with spatially dependent Lamé coefficients was considered. Finally a 3D problem was considered in [25].…”

Section: Introductionmentioning

confidence: 99%