A multiscale/stabilized finite element method for the advection–diffusion equation

This paper presents a multiscale method that yields a stabilized finite element formulation for the advection–diffusion equation. The multiscale method arises from a decomposition of the scalar field into coarse (resolved) scale and fine (unresolved) scale. The resulting stabilized formulation possesses superior properties like that of the SUPG and the GLS methods. A significant feature of the present method is that the definition of the...