A mixed finite element method for nearly incompressible elasticity and Stokes equations using primal and dual meshes with quadrilateral and hexahedral grids

作者：

Highlights：

• Optimal scheme is given for nearly incompressible elasticity and Stokes equations.

• Primal mesh for the displacement and dual mesh for the pressure.

• The earlier results are extended to quadrilateral and hexahedral meshes.

• Optimal error estimates are proved.

• Displacement-based formulation is derived.

摘要

•Optimal scheme is given for nearly incompressible elasticity and Stokes equations.•Primal mesh for the displacement and dual mesh for the pressure.•The earlier results are extended to quadrilateral and hexahedral meshes.•Optimal error estimates are proved.•Displacement-based formulation is derived.

论文关键词：65N30,65N15,74B10,Mixed finite elements,Nearly incompressible elasticity,Primal and dual meshes,Stokes equations,Inf–sup condition

论文评审过程：Received 29 April 2013, Available online 18 October 2013.

论文官网地址：https://doi.org/10.1016/j.cam.2013.09.056