Low-Frequency Problems in Integral Equations

Chew, Weng Cho; Tong, Mei Song; Hu, Bin

doi:10.1007/978-3-031-01707-0_5

Cited by 1 publication

(1 citation statement)

References 24 publications

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“…The finite element method (FEM), which solves the differential equations, draws extensive attentions in MAPoD study because it is easier to implement than the boundary element method (BEM) or volume element method (VEM), which solve the integral equations [ 14 , 15 , 16 , 17 ]. However, it discretizes the whole solution domain with volume meshes which need large computational resources in both FEM and VEM [ 23 ]. BEM has the merits that only the surface meshes of the considered domain need to be discretized which leads to a reduction in the number of unknowns and has been applied to compute the flaw responses in ECNDE forward problems and MAPoD study [ 18 , 19 , 20 , 21 , 22 ].…”

Section: Introductionmentioning

confidence: 99%

Efficient Model Assisted Probability of Detection Estimations in Eddy Current NDT with ACA-SVD Based Forward Solver

Bao

Qiu

et al. 2022

Sensors

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Model assisted probability of detection (MAPoD) is crucial for quantifying the inspection capability of a nondestructive testing (NDT) system which uses the coil or probe to sense the size and location of the cracks. Unfortunately, it may be computationally intensive for the simulation models. To improve the efficiency of the MAPoD, in this article, an efficient 3D eddy current nondestructive evaluation (ECNDE) forward solver is proposed to make estimations for PoD study. It is the first time that singular value decomposition (SVD) is used as the recompression technique to improve the overall performance of the adaptive cross approximation (ACA) algorithm-based boundary element method (BEM) ECNDE forward solver for implementation of PoD. Both the robustness and efficiency of the proposed solver are demonstrated and testified by comparing the predicted impedance variations of the coil with analytical, semi-analytical and experimental benchmarks. Calculation of PoD curves assisted by the proposed simulation model is performed on a finite thickness plate with a rectangular surface flaw. The features, which are the maximum impedance variations of the coil for various flaw lengths, are obtained entirely by the proposed model with selection of the liftoff distance as the uncertain parameter in a Gaussian distribution. The results show that the proposed ACA-SVD based BEM fast ECNDE forward solver is an excellent simulation model to make estimations for MAPoD study.

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