A Stable SBP–SAT FDTD Subgridding Method for T-Junction Blocks
Bibliographic record
Abstract
A stable summation-by-parts simultaneous approximation term (SBP–SAT) finite-difference time-domain (FDTD) subgridding method for electromagnetic simulations is proposed, specifically addressing computational challenges in T-junction block configurations. By integrating SBP operators and SATs into the FDTD framework, a three-block computational scheme is developed, which can be extended to a five-block configuration for regions centered within rectangular subgridding blocks. Our method employs specially designed interpolation matrices that maintain stability and accuracy across diverse grid ratios at interfaces of T-junction blocks. Numerical results validate its high efficiency, accuracy, and flexibility. Compared with traditional SBP–SAT FDTD subgridding methods for aligned blocks, our approach significantly reduces redundant SAT boundary conditions, enhancing the accuracy near boundary regions. These advantages are particularly pronounced in high dimensional and multisubgridding scenarios, establishing the proposed approach as both computationally efficient and straightforward to implement in complex applications.
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How this classification was reachedexpand
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 | 0.001 | 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 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".