# Solving PDEs on 2D Poisson Equation (test)

Source: [Solving PDEs on 2D Poisson Equation (test)](<https://www.sota2.com/research/sota/solving-pdes-on-2d-poisson-equation-test>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-26T05:20:58.879Z

Evaluation of models solving the 2D Poisson Partial Differential Equation over a square domain, using the analytical exact solution (uex) on the test set, measured by the L2 Norm.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Solving PDEs |
| Dataset (including any stated split) | 2D Poisson Equation (Square Domain) analytical exact solution uex (test) |
| Metric | L2 Norm |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 0 of 0 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [L2 Norm](<https://www.sota2.com/research/sota/solving-pdes-on-2d-poisson-equation-test.md?metric=L2%20Norm>): Lower is better; unit: SCALAR.

## Recorded results

| Method | L2 Norm | Result date | Report paper |
| --- | --- | --- | --- |

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