Adaptive least-squares finite element approximations to Stokes equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:280

Article

Lee, Hsueh-Chen¹  Chen, Tsu-Fen² 

[1] Wenzao Ursuline Univ Languages, Gen Educ Ctr, Kaohsiung, Taiwan

[2] Natl Chung Cheng Univ, Dept Math, Chiayi, Taiwan

关键词: Least-squares finite element;    Stokes equation;    Nonlinear weighting function;    Mesh redistribution;    Adaptive graded mesh;    Grading function;   

DOI  :  10.1016/j.cam.2014.11.041

来源: Elsevier

【 摘 要 】

This paper is concerned with adaptive least-squares methods for Stokes equations based on velocity-pressure-stress and velocity-vorticity-pressure formulations. To capture the Stokes flow region, an adaptive algorithm based on mesh redistribution is developed for a nonlinear weighted least-squares functional. A redistribution approach is considered to generate the optimal grids. Model problems considered are the flow past a planar channel and a 4-to-1 contraction problems. Numerical results of model problems illustrating the efficiency of the proposed scheme are presented. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free