Lowest-order virtual element methods for linear elasticity problems

We present two kinds of lowest-order virtual element methods for planar linear elasticity problems. For the first one we use the nonconforming virtual element method with a stabilizing term. It can be interpreted as a modification of the nonconforming Crouzeix–Raviart finite element method as suggested in Hansbo and Larson (2003) to the virtual element method. For the second one we use the conforming virtual element for one component of the...