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physics.flu-dyn2026
Well-posed by Design: Learning Constitutive Laws from Velocity Data using Convex Neural Network Potentials
Gonzalo G. de Diego, Georg Stadler
Learning constitutive laws of complex fluids from velocity data (i.e. indirect observations) is a PDE-constrained inverse problem in which expressive neural parameterizations risk…
math.NA2026
Transform before linearizing: robust Newton methods for singular -Laplace and -Stokes equations
Gonzalo G. De Diego, Fortino Garcia, Georg Stadler +1
For , the -Laplace equation and its -Stokes generalization are difficult to solve numerically. Newton's method converges rapidly only close to the solution, with itera…