Variational analysis of a mixed element/volume scheme with fourth-order viscosity on general triangulations

The accuracy of a mixed Finite Element/Finite Volume scheme on unstructured triangular meshes is obtained by a variational error estimate analysis, for a scalar linear stationary convection-diffusion problem. The scheme studied here is similar to the Mavriplis-Jameson scheme on triangles and is composed of an equivalent centered Finite Volume/Lagrange-Galerkin formulation, and a fourth-difference artificial dissipation term for the stabilization of first derivatives.