A general procedure for deriving stabilized space–time finite element methods for advective–diffusive problems

A procedure to derive stabilized space-time finite element methods for advective-diffusive problems is presented. The starting point is the stabilized balance equation for the transient case derived by Onate using a finite increment calculus approach. A description of the new stabilization method and a procedure for computing the stabilization parameter of the space-time solution is given. The efficiency of the stabilization approach is shown in the solution of some transient advective-diffusive problems, including the non-linear Burger's equation

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