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Nilo Schwencke

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#machine learning Preprint Sep 2026

Beyond PINNs: A Unified Gauss--Newton and Petrov--Galerkin Framework for Neural and Hybrid PDE Solvers

This work introduces a common framework based on the discretization of functional Gauss--Newton problems by finite families of linear measurements and shows that, through an appropriate duality pairing, the linear measurements can be represented by test functions.

Nilo Schwencke, Roland Maier · 0 citations