Mitigating Boundary Artefacts in Fourier Neural Operators: An Investigation of Symmetric Boundary Conditions using the Sivashinsky Equation
Although Fourier Neural Operators (FNOs) are computationally efficient and theoretically mesh-independent, their standard formulation assumes periodic boundary conditions and rectangular domains. When applied to non-periodic conditions, FNOs often exhibit oscillations, edge effects, and reduced accuracy. To mitigate these issues, this study investigates modifications to the baseline FNO, including
