Optimization of geometrically non-linear structures based on a multi-point approximation method and adaptivity

The combination of adaptive mesh refinement (AMR) with the multi-point approximation technique in a non-conventional way is discussed. It is observed that the convergence of the optimization process is slower as compared with optimization processes. To achieve better convergence, adjusted control parameters for the multi-point approximation method have been applied. After the optimization problem on the basis of approximate functions is solved for a current subregion, the accuracy of the approximations is evaluated at the obtained optimal point.