  A variational framework, initially developed for high-order mesh
optimisation, is being extended for r-adaptation. The method is based on the
minimisation of a functional of the mesh deformation. To achieve adaptation,
elements of the initial mesh are manipulated using metric tensors to obtain
target elements. The nonlinear optimisation in turns adapts the final
high-order mesh to best fit the description of the target elements by
minimising the element distortion. Encouraging preliminary results prove that
the method behaves well and can be used in the future for more extensive work
which shall include the use of error indicators from CFD simulations.
