Periodic B-spline basis for quasi-steady periodic inverse heat conduction

Abstract

A method based on the use of periodic B-splines and the integral transform technique is proposed for the solution of quasi-steady periodic linear inverse heat conduction problems. Previous approaches based on a finite Fourier series representation of the unknown surface condition are best suited to smooth time variations of the surface condition. Now, using a B-spline representation, problems with discontinuities or abrupt variations in the surface condition can be handled readily. The versatility of the B-spline basis allows prior information concerning the general functional behavior of the surface condition to be better incorporated into the model.