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- W2153993208 abstract "A stabilized finite element method (FEM) is presented for solving the convection–diffusion equation. We enrich the linear finite element space with local functions chosen according to the guidelines of the residual-free bubble (RFB) FEM. In our approach, the bubble part of the solution (the microscales) is approximated via an adequate choice of discontinuous bubbles allowing static condensation. This leads to a streamline-diffusion FEM with an explicit formula for the stability parameter τK that incorporates the flow direction, has the capability to deal with problems where there is substantial variation of the Péclet number, and gives the same limit as the RFB method. The method produces the same a priori error estimates that are typically obtained with streamline-upwind Petrov/Galerkin and RFB. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2011" @default.
- W2153993208 created "2016-06-24" @default.
- W2153993208 creator A5006584399 @default.
- W2153993208 date "2011-11-30" @default.
- W2153993208 modified "2023-09-26" @default.
- W2153993208 title "A stabilized finite element method for convection-diffusion problems" @default.
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- W2153993208 doi "https://doi.org/10.1002/num.20708" @default.
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