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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)

A description language for the finite element method was developed, which can be used specifically for element-by-element (EBE) calculations on unstructured simplexmeshes. Geometry, problem type and solving method can be specified in it, furthermore adaptive mesh refinement and mesh reduction can be controlled. The language elements are defined, a possible… (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)

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)

- Sándor BILICZ, Marc LAMBERT, Szabolcs GYIMÓTHY, József PÁVÓ, Grégoire PICHENOT
- 2010

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)

- Sandor Bilicz, Marc Lambert, Szabolcs Gyimothy
- 2010 URSI International Symposium on…
- 2010

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)

- Imre Kiss, Zsolt Badics, Szabolcs Gyimothy, Jozsef Pavo
- 2012 IEEE Conference on High Performance Extreme…
- 2012

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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