抄録
This paper presents an application of the dual reciprocity boundary element method to inverse heat conduction problems. To deal with the ill-posed nature of the problem, iterative regularization methods of conjugate gradient type have been used. Preconditioned biconjugate (PBCG) method has been used for the solution if the discretized boundary element system has as many equations as the total number of unknowns. Preconditioned conjugate gradient (PCG) method has been utilized for the general case in which more equations are available than unknowns. Numerical results show PBCG algorithm has very limited applicability for inverse problems. Further, the PCG algorithm performs better than the PBCG method, and is insensitive to measurement errors. However, for a general inverse problem, the DRBE-PCG algorithm is seen to be sensitive to the location of measurement points, and use of additional regularization of the boundary element system would be required to take care of this aspect.
