Reproduce “SCANO: Restoring Boundary-Condition Completeness in Sampled Meshes with a Sliced-Cross-Attention Neural Operator for 3D Thermal Fields” on OpenResearch

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About this paper

Tianyu Li, Zhiwei Cao, Qingang Zhang, Ruihang Wang, Binyang Song, Yonggang Wen

SCANO keeps boundary conditions available to every queried point and makes global context independent of the query sample. It combines Boundary Quadrature Attention, which area-weights face records, with Anchored Global State, which estimates context from independent volume-weighted anchors. On a controlled convection–diffusion benchmark, adding boundary attention reduced Transolver’s whole-mesh relative L2 error from 0.800 to 0.189 in that setting.

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