Implementation parallel computing for finite element method of Poisson equations
Bibliographic record
Abstract
In this project, we talk about the issue of implementation parallel com-puting for finite element method of poisson equation. We show how to use the GRUMMP to generate mesh data, and then use Metis to partition the mesh data into several pieces which are the input files for parallel finite ele-ment method solver. In Section(1), we introduce the two dimension of poisson equation and finite element method for it; We give the parallel algorithm for finite element method in Section(2); In Section(3), we use several examples to show how to use the two software GRUMMP and Metis; Then we use GRUMMP and Metis to generate the mesh for several examples and solve the poisson equation on these irregular domains, all the results are given in Section(4) or in the Appendix; Conclusion is drawn in the last section. 1
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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 | 0.000 | 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) | 0.000 | 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".