A computational method is considered for the fast recovery of a crack shape of steam generator tubes of nuclear power plants. A numerical model of the inspection process is given with the hybrid use of finite element and boundary element methods. The impedance change due to a defect is calculated by building the difference of the impedance values with the flaw present and absent. In order to achieve the high reduction of the computational costs, the solution space of the model output is reconstructed using multivariate B-spline series. A very fast recovering scheme is performed by solving the output least square problems for the approximated observation space.
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