Location: MIC-Arena, Maria-Goeppert-Str. 3, 23562 Lübeck
In the talk we develop a general method to derive a posteriori estimates for a certain class of
non-convex variational problems. The method is based on a uniformly convex reformulation of
the original problem. Next, we introduce finite-difference and finite-element discretizations of
the problem and use the primal-dual algorithm to find a solution of the discretized problem. Furthermore,
we suggest a method to generalize our approach for problems with non-zero boundary
conditions and provide numerical results for the model problems, which confirm an efficiency of
the developed method.
