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From the 2 of 5 linked papers with an AI index.

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5 papers

cs.CE2026

Data-free neural PDE solvers based on Graph Neural Networks and weak forms

Mikel M. Iparraguirre, Iciar Alfaro, David Gonzalez +1

The paper introduces a neural network that solves partial differential equations without any training data by using a graph neural network and the weak form of the equations, compu…

cs.CE2026

Physics-informed, Generative Adversarial Design of Funicular Shells

Rúben Lourenço, Icíar Alfaro, Beatriz Moya +1

The paper presents a physics‑informed generative adversarial network that creates three‑dimensional shell geometries optimized for pure compression (funicular shells), targeting 3D…

cs.LG2026

A Graph Neural Network approach to zero-shot Digital Twins

Alicia Tierz, Icíar Alfaro, David González +1

Traditional Predictive Digital Twins often remain geometrically rigid, requiring extensive retraining or fine-tuning whenever the underlying physical domain or boundary conditions…

cs.LG2026

MeshGraphNet-Transformer: Scalable Mesh-based Learned Simulation for Solid Mechanics

Mikel M. Iparraguirre, Iciar Alfaro, David Gonzalez +1

We present MeshGraphNet-Transformer (MGN-T), a novel architecture that combines the global modeling capabilities of Transformers with the geometric inductive bias of MeshGraphNets,…

cs.LG2025

Graph neural networks informed locally by thermodynamics

Alicia Tierz, Iciar Alfaro, David González +2

Thermodynamics-informed neural networks employ inductive biases for the enforcement of the first and second principles of thermodynamics. To construct these biases, a metriplectic…