Negative norm stabilization of convection-diffusion problems Original Research Article

We consider a model convection-diffusion problem in the convection-dominated regime. A functional setting is given for stabilized Galerkin approximations, in which the stabilizing terms are based on inner products of the type View the MathML source. These are explicitly computable via multiscale decompositions such as hierarchical finite elements or wavelets (while classical SUPG or Galerkin/least-squares methods mimic their effect through discrete element-by-element weighted L2-inner products).