Linear Nonconforming Finite Element Method for Nearly Incompressible Elasticity and Stokes Flow

摘要

A new triangular element for nearly incompressible elasticity and incompressible fluid flow is introduced. The method consists of conforming linear elements for one of the displacement (or velocity for flows) component and linear nonconforming elements for the other component. The element is proved to give an optimal approximation and this is also confirmed by several numerical examples.