158 Nonconforming H¹-Galerkin Mixed Finite Element Method for Dual Phase Lagging Heat Conduction Equation

An H¹-Galerkin mixed finite element approximate scheme is established with nonconforming quasi-Wilson element for the dual phase lagging heat conduction equation. By use of bilinear element and a special property of quasi-Wilson element, i.e. its consistency error is one order higher than the interpolation error, then the corresponding optimal error estimate is derived. At the same time, the generalized elliptic projection and LBB consistency condition are not necessary, which are indispensable for classical error estimates of most finite element methods.