ON A STABILIZED FINITE ELEMENT METHOD WITH MESH ADAPTIVE PROCEDURE FOR CONVECTION--DIFFUSION PROBLEMS
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Computing solutions of convection-diffusion equations is an important and challenging problem from the numerical point of view. We present in this work a numerical scheme to study this problem. The scheme combines a stabilized finite element method introduced in [Serghini Mounim, A stabilized finite element method for convection-diffusion problems, Mumer. Methods Partial Differential Eq 28: 2012], with an adaptive mesh refinement procedure which is based on the residual a posteriori error estimators. It is worthwhile to point out that the numerical results indicate that the stabilization parameter introduced in [Serghini Mounim, A stabilized finite element method for convection-diffusion problems, Numer. Methods Partial Differential Eq. 28 (2012), 1916-1943] gives much better results than the standard Streamline upwind/Petrov-Galerkin (SUPG) one.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 |
| 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 it