A finite-volume solution to the geophysical electromagnetic forward problem using unstructured grids
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Bibliographic record
Abstract
The application of unstructured grids can improve the solution of total field electromagnetic problems as these grids allow the efficient local refinement of the mesh at the locations of high gradient of the fields. This study investigates the generalization of the standard Yee’s staggered scheme to unstructured tetrahedral-Voronoї grids. We discretize the Helmholtz equation for the electric field using a finite volume approach and then solve the problem to find the projection of the total electric field along the edges of the tetrahedral elements. To compute the electric and magnetic fields at the observation points an interpolation technique is employed which uses the edge vector basis functions of the tetrahedral elements. Two examples from the preliminary results are included which show the computation of the total and secondary fields due to electric and magnetic sources in halfspaces that contain anomalous bodies. The results show good agreement with those from the literature and analytical solutions.
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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 | 0.000 |
| 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) | 0.001 | 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