In this paper,we propose a low-order virtual element method for the linear elasticity problem in two dimensions.We construct a discrete space by enriching the low order conforming virtual element space with discontinuous piecewise linear vector-valued functions.A corresponding discrete problem is introduced.It is proved that the error estimation is optimal with respect to the energy norm,and the hidden constant is independent of the Lamé constant λ.Finally,some numerical examples are given to verify the theoretical results.
关键词
线弹性问题/低阶虚拟元方法/闭锁现象
Key words
linear elasticity problem/low-order virtual element method/locking phenomenon
维普
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