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A Relationship Between Stabilized Finite Element Methods and the Galerkin Method with Bubble Functions

Institut National de Recherche en Informatique et en AutomatiqueFranco Brezzi

出版	Institut National de Recherche en Informatique et en Automatique, 1991
URL	http://books.google.com.hk/books?id=obbkGwAACAAJ&hl=&source=gbs_api

註釋Abstract: "A relation between stabilized finite element methods and the Galerkin method employing interpolations with bubble functions is established for the advective-diffusive model and for the linearized compressible Navier-Stokes equations. The bubble functions are shown to help in stabilizing the advective operator without recourse to upwinding or any other numerical strategy. In particular, for the advective-diffusive model, the Galerkin method employing piecewise linears with bubble functions is shown to be equivalent to the Streamline-Upwind/Petrov- Galerkin (SUPG) method in the diffusive limit."