A new numerical method for div-curl systems with low regularity assumptions

This paper presents a new numerical method for div-curl systems with the normal boundary condition by using finite element technique known as primal-dual weak Galerkin (PDWG). The PDWG scheme system has two prominent features in that it offers not only an accurate and reliable solution to under low Hα-regularity (α>0) assumption true solution, but also effective approximation of harmonic vector fields on domains complex topology. Seven experiments are conducted results presented demonstrate performance algorithm, including one example computation discrete fields.