Boundary element solutions of the steady state, singular, inverse heat transfer equation

Abstract

A numerical investigation of the steady state, inverse heat conduction problem which is improperly posed and has a boundary singularity has been investigated. Using finite difference and finite element methods it is difficult to even mathematically model this problem. Therefore in this paper a minimal energy technique, which has been combined with a modified boundary element method, has been employed. The results obtained using this technique are convergent and stable and a comparison of the numerical solutions with analytical solutions, where available, are very encouraging.