Zhi-Yue Zhang

A Localized Hybrid Finite Element--Random Feature Method for Elliptic Interface Problems on Unfitted Meshes

We develop a localized hybrid finite element--random feature method (FEM--RFM) for elliptic interface problems on unfitted background meshes. The central idea is to use the random feature method (RFM) only in the narrow band formed by interface-cut cells of a uniform Cartesian background mesh,while retaining standard $...