Computation of the stabilization parameter for the finite element solution of advective–diffusive problems

Abstract

In a previous paper a general procedure for deriving stabilized ®nite element schemes for advective type problems based on invoking higher order balance laws over ®nite size domains was presented. This provides an expression for the element stabilization parameter in terms of the solution residual and its ®rst derivatives in a kind of iterative or adaptative manner. Details of the application of this procedure to 1D and 2D advective± diffusive problems are given. Some examples of applications showing the potential of the new approach are presented. # 1997 John Wiley & Sons, Ltd. Int. J. Numer. Meth. Fluids, 25: 1385±1407 (1997) No. of Figures: 10.No. of Tables: 0.No. of References: 30.

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