Optimum Design of Transient Heat Conduction Fields Using Boundary Element Inverse Analysis

Abstract

In this paper we present a method of optimum design for transient heat conduction fields using inverse analysis with the boundary element method and the Kalman filter algorithm. It is expected that the inverse analysis method can be applied to optimization problems of determining unknown parameters by minimizing the cost function. The optimization problem under consideration is such that the boundary conditions on part of the boundary are to be determined so that requirements of responses on the remainder of the boundary are satisfied. A few sample problems of optimization are computed by means of the inverse analysis method to demonstrate its potential usefulness.