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Xiu-Ping Wang

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#graph neural networks Preprint Aug 2026

A Learnable Multigrid Framework via Graph Convolutions

A novel framework that integrates learnable graph convolutions with the geometric multigrid method for solving partial differential equations (PDEs) is presented, effectively transforming the entire multigrid solver into a specialized neural network architecture, rather than combining a classical solver with surrogate models.

Xiu-Ping Wang, Lihua Luo · 0 citations