A new weak Galerkin (WG) method is introduced and analyzed for the second order elliptic equation formulated as a system of two first order linear equations. This method, called WG-MFEM, is designed by using discontinuous piecewise polynomials on finite element partitions with arbitrary shape of polygons/polyhedra. The WG-MFEM is capable of providing very accurate numerical approximations for both the primary and flux variables. Allowing the use of discontinuous approximating functions on arbitrary shape of polygons/polyhedra makes the method highly flexible in practical computation. Optimal order error estimates in both discrete H¹ and L² norms are established for the corresponding weak Galerkin mixed finite element solutions.
No takes yet. Share an insight, caveat, or question.
Wang et al. (2014) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: