Simultaneous Estimation of Location and Strength of a Heat Source in a Functionally Graded Plate by Inverse analysis

In thisarticle, an inverse algorithm based on the conjugate gradient method is applied to estimate the unknown location and time-wise varying strength of the point and distributed heat source in functionally graded rectangular plate from the knowledge of temperature measurements taken from the boundaries of plate. It is assumed that no prior information is available on the functional form of timewise variation of the heat source strength so estimation process starts with an arbitrary initial guess. The conjugate gradient method is employed for optimization process and the finite element method is applied to solve the governing differential equations. Results show that the estimation of location and strength of point heat source can be obtained with any arbitrary initial guesses .