PDEAgent-Bench - Biharmonic: leaderboard

PDEAgent-Bench (Hang et al., 2026) gives a model a structured PDE specification and asks for a complete finite-element solver in one attempt, with no execution feedback: the 57 fourth-order biharmonic (plate) problems of the primary DOLFINx 0.10 track. A case passes only if the solver runs, returns a valid solution within 10 times the calibration baseline's relative L2 error and finishes within 3 times its runtime; the score is the pass rate in percent, higher is better.

Metric: Case pass rate (%; 57 DOLFINx cases, single-shot, temperature 0). Source: arxiv.org. Saturation forecast: Around February 2027. 5 models tracked.

Top models

#ModelScoreOverall rank
1Gemini 3.1 Pro (Preview)77.2#91
2Claude Opus 4.750.9#75
3GPT-5.447.4#121
4Qwen 3.6 Plus24.6#217
5DeepSeek V3.28.8#403

No result here: #1 Claude Fable 5.2, #2 Gemini 4 Carbon, #5 Claude Opus 5.5.

Interactive version: theaggregate.ai/benchmark?slug=pdeagent-bench-biharmonic · How It Works · Data refreshed daily, snapshot 2026-11-12.