Topological Sensitivity Analysis for Steady State Eddy Current Problems With an Application to Nondestructive Testing
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Bibliographic record
Abstract
This paper proposes a novel solution to the inverse problem of eddy current nondestructive testing (NDT) based on topological shape optimization. The topological gradient (TG) is derived for a steady state eddy current problem using a topological asymptotic expansion for the Maxwell equation of a time harmonic problem. TG provides information on where the objective function is most sensitive to topology changes and can be used as a fast identification of the locations of the defects in the test specimen. The proposed method has been applied to typical eddy current testing (ECT) problems such as buried crack reconstruction and the detection of multiple cracks. The reconstructed shape of the crack shows good agreement with the experimental data from TEAM workshop problem 15. A comparison of different ECT inverse analyses is also discussed.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it