  We consider goal-oriented adaptive space-time finite-element discretizations
of the regularized parabolic p-Laplace problem on completely unstructured
simplicial space-time meshes. The adaptivity is driven by the dual-weighted
residual (DWR) method since we are interested in an accurate computation of
some possibly nonlinear functionals at the solution. Such functionals represent
goals in which engineers are often more interested than the solution itself.
The DWR method requires the numerical solution of a linear adjoint problem that
provides the sensitivities for the mesh refinement. This can be done by means
of the same full space-time finite element discretization as used for the
primal non-linear problems. The numerical experiments presented demonstrate
that this goal-oriented, full space-time finite element solver efficiently
provides accurate numerical results for different functionals.
