Solving parametric elliptic interface problems via interfaced operator network

Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu

Abstract: Highlights•This paper presents a NN approach for solving parametric elliptic interface equations.•IONet is capable of approximating operators with discontinuities in both input functions and output solutions.•IONet is an accessible mesh-free surrogate model.•IONet solves parametric interface problems with multi inputs, high-contrast coefficients and irregular geometries.