||As a model problem of aeroelasticity the panel problem is considered
to study the discretization of nonlinear aeroelastic problems and the behaviour of the corresponding algorithmic processes. A discretization that mimics the energy budget of the continuous problem is derived. The set of equations occuring in each time step are implicit in time over and structure and a Newton-Iteration and a Fixed-Point-Iteration are employed as solution methods. Their convergence behaviour is compared. Further, the obtained solutions are compared to the ones found with loose coupling schemes in cases of transonic aeroelasticity, in particular concerning the predicted location of bifurcations.