High Order Compact Finite Volume Scheme For 2D Elliptic Interface Problem

In this paper, we mainly study a class of compact finite volume schemes for two dimensional elliptic interface problem. First of all, according to the interface prob-lem of the 2D elliptic equation it proposes a compact finite volume element format. The scheme has the property of symmetry, and can be solved by SOR iterative pro-cedure. Secondly, we use energy analysis method to prove the convergence. Finally, Numerical experiments show the efficiency and accuracy of the proposed method.