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A geometry-aware operator transformer for PDEs on arbitrary domains

Paper title Geometry Aware Operator Transformer as an Efficient and Accurate Neural Surrogate for PDEs on Arbitrary Domains

Wen et al. (ETH Zurich) · Aero & CFD · General PDEs · Public: code

Paper arXiv 2505.18781PDF

A multiscale attentional graph neural operator encodes inputs on any point cloud or mesh onto tokens of a coarse latent grid, together with geometry embeddings that summarise the local point distribution; a vision transformer processes the patched tokens, and a matching graph decoder returns the field at any query point, so a model trained on under 10% of a car's surface points can still be queried on the full surface, at some loss of accuracy.

Published
NeurIPS

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