A guide to the finite and virtual element methods for elasticity

We present a systematic description and comparison of the Finite Element Method (FEM) with relatively new Virtual (VEM) for solving boundary value problems in linear elasticity, including primal mixed formulations. The highlights common base essential difference between FEM VEM: discretisation same (Galerkin) weak formulations assembly element-wise quantities, but different approaches to element shape functions. mathematical are complemented detailed computer implementation all methods, versions VEM, which will benefit readers willing develop their own computational framework. Numerical solutions several also presented order discuss weaker stronger sides methods.