Best Minimizing Algorithm for Shape-Measure Method

optimal shape design problems (OSD) in cartesian coordinates is The Shape-Measure method for solvingdivided into two steps. First, for a fixed shape (domain), the problem is transferred to the space of positive determine the optimalentsRadon measures and relaxed to a linear programming in which its optimal coefficipair of trajectory and control. Then, a standard minimizing algorithm is used to identify the best shape. Herewe deal with the best standard algorithm to identify the optimal solution for an OSD sample problemgoverned by an elliptic boundary control problem

Keywords:

elliptic equation , Radon measure , optimal shape , search techniques