Enhancing the PML absorbing boundary conditions for the wave equation
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Bibliographic record
Abstract
The dynamics of wave propagation and interactions in general media is described either by the system of Maxwell's equations, or by the wave equation. This paper focuses on problems modeled by the scalar wave equation, with one or more boundaries at infinity. The computational domain is truncated by a perfectly matched layer (PML) absorbing boundary condition (ABC) modified specifically for wave-equation applications. A problem independent approach is used to enhance the PML performance within the whole frequency band of excitation, in the presence of both evanescent and propagating fields. Numerical reflections below 0.1% are achieved with PML thickness of only six to eight cells, in both open and guided-wave problems.
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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 | 0.001 | 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.
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