most citedAccelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators

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math.NA2024★ 11 cited

Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators

Joubine Aghili, Emmanuel Franck, Romain Hild +2

It is well known that Newton's method can have trouble converging if the initial guess is too far from the solution. Such a problem particularly occurs when this method is used to…