Ferrier, Renaud Gosselet, Pierre Kadri, Mohamed

In the framework of the non-destructive control of mechanical components, the question of the identification of internal macroscopical cracks from indirect measurements is relevant. In this contribution, we focus on the identification of cracks from the measurement of the displacement at the boundary of a domain submitted to a known mechanical load...

Ferrier, Renaud Gosselet, Pierre Kadri, Mohamed

In the framework of the non-destructive control of mechanical components, the question of the identification of internal macroscopical cracks from indirect measurements is relevant. In this contribution, we focus on the identification of cracks from the measurement of the displacement at the boundary of a domain submitted to a known mechanical load...

Ferrier, Renaud Gosselet, Pierre Kadri, Mohamed

In the framework of the non-destructive control of mechanical components, the question of the identification of internal macroscopical cracks from indirect measurements is relevant. In this contribution, we focus on the identification of cracks from the measurement of the displacement at the boundary of a domain submitted to a known mechanical load...

Riis, N. A.B. Frøsig, J. Dong, Y. Hansen, P. C.

Tomographic reconstruction from limited data is an important problem that arises in many applications and can be handled in many ways. Here we consider inspection of underwater oil pipelines via fan-beam x-ray CT where, due to restrictions in the measurement device, the beam cannot illuminate the full area to be reconstructed. Moreover, it is desir...

Hubmer, Simon Sherina, Ekaterina Neubauer, Andreas Scherzer, Otmar

We consider a problem of quantitative static elastography, the estimation of the Lam´e parameters from internal displacement field data. This problem is formulated as a nonlinear operator equation. To solve this equation, we investigate the Landweber iteration both analytically and numerically. The main result of this paper is the verification of a...

Karamehmedovic, Mirza

Photo-acoustic tomography (PAT) exploits an interaction between electromagnetic and acoustic phenomena. Accordingly, a standard forward model underlying PAT involves an elliptic PDE with internal data coupled with a hyperbolic initial-boundary problem. For both component problems one can formulate a forward operator that maps a feature of the sampl...

Herty, Michael Matthias Visconti, Giuseppe

Hubmer, Simon Sherina, Ekaterina Neubauer, Andreas Scherzer, Otmar

We consider a problem of quantitative static elastography, the estimation of the Lam´e parameters from internal displacement field data. This problem is formulated as a nonlinear operator equation. To solve this equation, we investigate the Landweber iteration both analytically and numerically. The main result of this paper is the verification of a...

Hubmer, Simon Sherina, Ekaterina Neubauer, Andreas Scherzer, Otmar

We consider a problem of quantitative static elastography, the estimation of the Lam´e parameters from internal displacement field data. This problem is formulated as a nonlinear operator equation. To solve this equation, we investigate the Landweber iteration both analytically and numerically. The main result of this paper is the verification of a...

Hubmer, Simon Sherina, Ekaterina Neubauer, Andreas Scherzer, Otmar

We consider a problem of quantitative static elastography, the estimation of the Lam´e parameters from internal displacement field data. This problem is formulated as a nonlinear operator equation. To solve this equation, we investigate the Landweber iteration both analytically and numerically. The main result of this paper is the verification of a...