fix: P-DivGNN is a periodic micro-RVE (not holed plate); clarify param-matching
Browse files
README.md
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@@ -59,7 +59,8 @@ connectivity.
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- **Developed by:** Efradeca
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- **Model type:** Neural operator (transformer PDE surrogate) for 2-D static hyper-elastic stress
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- **Inputs / outputs:** node coordinates `(B, 972, 2)` → per-node von Mises stress `(B, 972)`
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- **Parameters:** 582,275 (
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- **License:** MIT
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- **Built on (not original to this work):** the **Transolver** solver (Wu et al., ICML 2024, MIT — its
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attention block is reused verbatim) and an independent, from-equations reimplementation of the
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@@ -68,8 +69,9 @@ connectivity.
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### What is and isn't novel (read this)
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The soft equilibrium-residual penalty `λ‖∇·σ‖²` on a predicted stress field is **established prior art**
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(PI-UNet 2022; PiFNO 2024; and especially **P-DivGNN 2025**, which uses
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three-component Cauchy-stress target on
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repository's actual contribution is (1) a specific, previously-unattested **instantiation** — the penalty
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on a *transformer* operator with a *meshfree, connectivity-free* MLS divergence (exact on affine fields by
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the degree-1 GMLS reproduction property), distinct from the FE / FFT / finite-difference operators of all
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- **Developed by:** Efradeca
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- **Model type:** Neural operator (transformer PDE surrogate) for 2-D static hyper-elastic stress
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- **Inputs / outputs:** node coordinates `(B, 972, 2)` → per-node von Mises stress `(B, 972)`
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- **Parameters:** 582,275 (the 3-channel equilibrium model; sized to match the official LinearNO
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Elasticity configuration, ≈585k, and ≤ our Transolver baseline's 713,665)
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- **License:** MIT
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- **Built on (not original to this work):** the **Transolver** solver (Wu et al., ICML 2024, MIT — its
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attention block is reused verbatim) and an independent, from-equations reimplementation of the
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### What is and isn't novel (read this)
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The soft equilibrium-residual penalty `λ‖∇·σ‖²` on a predicted stress field is **established prior art**
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(PI-UNet 2022; PiFNO 2024; and especially **P-DivGNN 2025**, which uses essentially the same
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soft-divergence loss and the same three-component Cauchy-stress target on an unstructured mesh — a
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periodic micro-RVE). We do **not** claim the idea. This
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repository's actual contribution is (1) a specific, previously-unattested **instantiation** — the penalty
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on a *transformer* operator with a *meshfree, connectivity-free* MLS divergence (exact on affine fields by
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the degree-1 GMLS reproduction property), distinct from the FE / FFT / finite-difference operators of all
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