A sensitivity equation method for molding processes

Describes a sensitivity equation method for elliptic interface problems where the parameter of interest determines the spatial location of the interface. Elliptic differential equations of this type are often characterized by discontinuous coefficients and, in some instances, these equations may have discontinuous solutions or flux terms. The computational method constructed in the paper uses an iterative, non-overlapping domain decomposition algorithm. Preliminary results indicate that the algorithm works well under optimal conditions.