FDTD lattice termination with periodic boundary conditions
Why this work is in the frame
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Bibliographic record
Abstract
The potential of periodic boundary conditions to provide an alternative method for terminating finite-difference time-domain lattices, instead of absorbing boundary conditions or perfectly matched layers, is examined in this paper. Employing a recent combination of the sine-cosine technique with the array-scanning method, a large number of problems of interest can be efficiently terminated at periodic boundaries, which effectively act as absorbers. Hence, a unified treatment of inhomogeneous, dispersive and conductive media, each of which requires a reformulation of the perfectly matched layer, is attained, with an excellent performance that is not compromised by the close proximity of a source to the boundary. In addition, while the reflectivity of perfectly matched layers increases when the refractive index of the working volume is a non-analytic function, the proposed approach is not affected. The presence of non-periodic boundary conditions can still be accounted for by hybrid periodic/absorbing terminations.
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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