Neural Green's function for Laplacian systems

Jingwei Tang, Vinicius C. Azevedo, Guillaume Cordonnier, Barbara Solenthaler

Abstract: Highlights•A multi-scale sparse representation of Green’s function for the Laplace Operator.•A machine learning approach that regresses a Green’s function solution from boundary conditions.•An efficient linear system solver based on the multi-scale Green’s function approximation.