Implementation of inverse method for estimating undetermined boundary in a two-dimensional slab based on temperature measurement

摘要

A boundary reconstruction technique using the inverse method is proposed. The finite-element method is employed to realize the deformable grid system. An adaptive strategy for updating the grid system is suggested. Sensitivity analysis is performed to obtain the derivatives required for restoration of the undetermined boundary. The boundary is sought using sequential quadratic programming. The overall performance of the method is examined by comparing the restored boundary with the original boundary.