Applications of the pseudo residual-free bubbles to the stabilization of the convection-diffusion-reaction problems in 2D

作者：Sendur A; Nesliturk A^*; Kaya A

来源：Computer Methods in Applied Mechanics and Engineering, 2014, 277: 154-179.

DOI：10.1016/j.cma.2014.04.019

• Stabilized finite element methods
• Pseudo residual-free bubbles
• Augmented space

A stabilized finite element method is studied herein for two-dimensional convection-diffusion-reaction problems. The method is based on the residual-free bubbles (RFB) method. However we replace the RFB functions by their cheap, yet efficient approximations computed on a specially chosen subgrid, which retain the same qualitative behavior. Since the correct spot of subgrid points plays a crucial role in the approximation, it is important to determine their optimal locations, which we do it through a minimization process with respect to the L-1-norm. The resulting numerical method has similar stability features with the well-known stabilized methods in the literature for the whole range of problem parameters and this fact is also confirmed by numerical experiments.

• 出版日期2014-8-1