Adaptive least-squares finite element approximations to Stokes equations
作者：
Highlights：
• Adaptive least-squares methods are used to solve the Stokes equations.
• Velocity–pressure–stress and velocity–vorticity–pressure formulations are used.
• Mesh redistribution for planar and 4-to-1 contraction flow problems are developed.
• Lower-order basis functions in all variables are used in least-squares methods.
• Hybrid meshes of regular and graded grids are used to reduce the grid effects.
摘要
•Adaptive least-squares methods are used to solve the Stokes equations.•Velocity–pressure–stress and velocity–vorticity–pressure formulations are used.•Mesh redistribution for planar and 4-to-1 contraction flow problems are developed.•Lower-order basis functions in all variables are used in least-squares methods.•Hybrid meshes of regular and graded grids are used to reduce the grid effects.
论文关键词：Least-squares finite element,Stokes equation,Nonlinear weighting function,Mesh redistribution,Adaptive graded mesh,Grading function
论文评审过程：Received 27 February 2013, Revised 17 October 2013, Available online 12 December 2014.
论文官网地址：https://doi.org/10.1016/j.cam.2014.11.041
