BOUNDARY ELEMENT APPROACH FOR INVERSE HEAT CONDUCTION PROBLEMS: APPLICATION TO A BIDIMENSIONAL TRANSIENT NUMERICAL EXPERIMENT

A boundary element approach is used to solve inverse heat conduction problems in multidimensional and nonlinear situations. In stationary and transient cases, discretized boundary integral equations are expressed and, to obtain satisfying results, are associated with regularization procedures over space and time (transient case). The efficiency of the method, which depends on the accuracy of the measurements, is explored through an example of transient bidimensional application. A comparison with the superposition method (linear problems) is presented.