Energy norm a posteriori error estimates for discontinuous Galerkin approximations of the linear elasticity problem

We present a residual-based a posteriori error estimate in an energy norm of the error in a family of discontinuous Galerkin approximations of linear elasticity problems. The theory is developed in two and three spatial dimensions and general nonconvex polygonal domains are allowed. We also present some illustrating numerical examples.

► A posterior error analysis for elasticity approximated by discontinuous Galerkin.
► Residual based energy norm estimates are derived.
► A Helmholtz decomposition of tensor fields is used.
► Numerical examples are provided.