On the Equivalence of RWG Method of Moments and the Locally Corrected Nyström Method for Solving the Electric Field Integral Equation
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Bibliographic record
Abstract
The first-order locally corrected Nyström (LCN) method for the electric field integral equation is modified to ensure continuity of the current between triangular elements of the mesh. Rao-Wilton-Glisson (RWG) basis functions are used to create a conversion matrix from the LCN representation of the current to the RWG method-of-moments (MoM) representation of the current in order to enforce continuity of current between adjacent triangular flat patches. Benefits of the method are two fold: first, it provides 4 × reduction in degrees of freedom and removes unacceptable error levels in first-order LCN implementations, second, the method can be viewed as a point-based discretization of the RWG MoM offering improved efficiency in its acceleration with the fast multipole algorithm.
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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 | 0.001 | 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) | 0.000 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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