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The numerical simulation of eddy-current non-destructive testing methods involves high complexity and expensive computational load. However, one needs to reach reliable solutions for these problems in order to be able, in particular, to solve the related inverse problem. A way to overcome such a difficulty is to propose a " surrogate modelization " of ECT(More)
One of the main challenges in Eddy Current Testing (ECT) is the solution of the inverse problem, i.e., the determination of the defect properties knowing the measured data. To this end, many approaches and mathematical tools have been proposed. The so-called adaptive database-method has recently been developed. Its main idea is to store corresponding(More)
This paper presents an inverse problem methodology in the domain of non-destructive testing, and more precisely eddy-current testing. Our objective is to use a precise but expensive-to-evaluate model of the electromagnetic induction phenomenon in a conductive material and to estimate the characteristics of a flaw by minimization of a regularized criterion(More)
In this paper, the characterization of electromagnetic inverse problems is addressed. As it is well known, an inverse problem can be ill-posed, i.e., its solution is not necessarily unique and might be quite sensitive to the measured data. To characterize such an inverse problem a combination of a surrogate model —based on an optimal database—(More)
The numerical simulation of eddy-current non-destructive testing methods involves high complexity and expensive computational load. However, one needs to reach reliable solutions for these problems in order to be able, in particular, to solve the related inverse problem. To overcome this difficulty a new approach recently appeared. The main idea here is to(More)
The utilization of Graphical Processing Units (GPUs) for the element-by-element (EbE) finite element method (FEM) is demonstrated. EbE FEM is a long known technique, by which a conjugate gradient (CG) type iterative solution scheme can be entirely decomposed into computations on the element level, i.e., without assembling the global system matrix. In our(More)
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