arXiv Machine Learning June 2, 2026 By Satoshi Noguchi, Yoshinobu Kawahara

Mesh Field Theory: Port-Hamiltonian Formulation of Mesh-Based Physics

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arXiv:2605. 00394v3 Announce Type: replace Abstract: We present Mesh Field Theory (MeshFT) and its neural realization, MeshFT-Net: a structure-preserving framework for mesh-based continuum physics that cleanly separates the physics' topological structure from its metric structure.

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