Theoretical aspects and applications of goal-oriented reanalysis methods

In this contribution a method for goal-oriented reanalysis is presented. The method allows the prediction of the change in a quantity of interest due to structural modifications (design changes), e.g. the shape, the topology, material properties, etc. The approach is based on a goal-oriented method by using the primal and dual problems. Furthermore, the method is easily to implement in existing finite element programs, because no derivatives with respect to the design variables are necessary. The proposed method can be used in classical applica-tions with successive design steps, for instance structural optimization, reliability analysis or structural damage analysis. In many cases hundreds or even thousands of different design configurations are investigated, and the state equation must be solved for each design step. The repeated structural analysis and the calculation of quantities of interest involves signifi-cant computational effort. Goal-oriented reanalysis methods can be used in order to reduce the overall computational cost in the numerical simulation.