A Derivative-Free Filled Function Method for Non-Linear Inverse Optimization of Material Parameters

Abstract

In solving non-linear inverse optimization problems, how to make sure one and only solution and cut down computational effort are two very representative challenges. As thus, the derivative-free filled function method is proposed, it couples the classical filled method theory and dynamic canonical descent method. The application results of non-linear inverse analysis of material parameters for a practical engineering show that the derivative-free filled function method can quickly solve non-linear inverse problems with one and only solution, and it will be robust one in non-linear inverse solution field.