The purpose of this paper is to present the residual-free bubbles (RFB) method and to show its relationship with the streamline-upwind Petrov/Galerkin method (SUPG). The paper is organized as follows. After the Introduction, we show how the failure of classical finite element methods for convection-dominated convection-diffusion problem can be explained by energy considerations. Then we describe the residual-free bubbles ideas, and in the last section we show the equivalence of RFB and SUPG in a simple case. © 2005 Published by Elsevier B.V.
Russo, A. (2006). Streamline-upwind Petrov/Galerkin method (SUPG) vs residual-free bubbles (RFB). COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 195(13-16), 1608-1620 [10.1016/j.cma.2005.05.031].
Streamline-upwind Petrov/Galerkin method (SUPG) vs residual-free bubbles (RFB)
RUSSO, ALESSANDRO
2006
Abstract
The purpose of this paper is to present the residual-free bubbles (RFB) method and to show its relationship with the streamline-upwind Petrov/Galerkin method (SUPG). The paper is organized as follows. After the Introduction, we show how the failure of classical finite element methods for convection-dominated convection-diffusion problem can be explained by energy considerations. Then we describe the residual-free bubbles ideas, and in the last section we show the equivalence of RFB and SUPG in a simple case. © 2005 Published by Elsevier B.V.
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