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

Joubine Aghili, Emmanuel Franck, Romain Hild, Victor Michel-Dansac, Vincent Vigon

2024Communications in Nonlinear Science and Numerical Simulation11 citationsDOIOpen Access PDF

Topics & Concepts

DiscretizationNonlinear systemMathematicsNewton's methodConvergence (economics)Partial differential equationApplied mathematicsContext (archaeology)ResidualMathematical analysisMargin (machine learning)Operator (biology)Computer scienceAlgorithmPhysicsEconomicsPaleontologyTranscription factorBiochemistryMachine learningBiologyRepressorQuantum mechanicsChemistryEconomic growthGeneModel Reduction and Neural NetworksAdvanced Numerical Methods in Computational MathematicsFluid Dynamics and Turbulent Flows
Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators | Litcius