Author(s)

D.B. Ingham

Abstract

The Minimal Energy Technique has been introduced to modify the BEM for solving inverse heat conduction problems which are improperly posed. All the results obtained on test problems indicate that excellent convergence and stable numerical approximate solutions may be obtained for various inverse and improperly posed heat conduction problems, which may be steady or unsteady. Further, the examples show that the agreement between the numerical and analytical solutions, where available, is excellent. 1 Introduction There are many reasons for the need to investigate the solution of improperly posed problems in partial differential equations. However, before proceeding, we recall what is meant by an improperly posed problem in partial differential equations. One may regard a problem as being well posed ( properly posed) if a unique sol

Keywords