Sixth-Order Hybrid Finite Difference Methods for Elliptic Interface Problems with Mixed Boundary Conditions

Qiwei Feng, Bin Han, Peter Minev

In this paper, we develop sixth-order hybrid finite difference methods (FDMs) for the elliptic interface problem $-\nabla \cdot (a\nabla u)=f$ in $\Omega \backslash \Gamma$, where $\Gamma$ is a sm…