Solving a Maxwell Interface Problem by a Local L~2 Projected C~0 Finite Element Method

摘要

In general, the solution of a Maxwell interface problem would not belong to H~1 space and the standard C~0 finite element method fails. With the help of local L~2 projections applied to both the curl and div operators, we propose a new C~0 finite element method which can correctly converge to the non H~1 space solution. Stability and error estimates are given.