Incompressible Navier–Stokes computations with stable and stabilized space–time formulations: a comparative study
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
Abstract The behaviour and accuracy of the stable mixed space–time finite element methods for the incompressible Navier–Stokes equations in a two‐dimensional bounded domain are investigated in this work. The mixed method is based on the recently developed space–time mini element, which consists of piecewise linear functions for the pressure and of piecewise linear functions enriched with a bubble function for the velocity. This element is stable in the sense that the underlying pair of discrete spaces for velocity and pressure satisfies the so‐called ‘inf–sup’ condition. We assess the behaviour and accuracy of the underlying mixed approximation when compared with the stabilized Galerkin/least‐squares space–time method for some two‐dimensional problems. Both methods are based on the time‐discontinuous Galerkin method with the use of simplex‐type meshes. Copyright © 2002 John Wiley & Sons, Ltd.
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 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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