A Note on Variational Principle for Dissipative Reaction-Convection-Diffusion Problems

In this note we provide an application of the weighted energy-dissipation (WED) variational principle to a class of dissipative reaction-convection-diffusion problems. In particular, we study the convergence of the time-discrete approximate minimizers to certain weighted energy functionals to weak solutions of the time-continuous problem with non-symmetry in both elliptic as well as parabolic part. Finally, we show that the causal limit of the time-discrete problem corresponds to the classical backward Euler scheme.