FINITE-ELEMENT PERTURBATION ANALYSIS OF NONLINEAR HEAT-CONDUCTION PROBLEMS WITH RANDOM-FIELD PARAMETERS

Derives a first order perturbation algorithm for the computation of me an values and (co-) variances of the transient temperature field in co nduction heated materials with random field parameters. Considers both linear as well as non-linear heat conduction problems. The algorithm is advantageous in terms of computer time compared to the Monte Carlo method. The computer time can further be reduced by appropriate transf ormation of the random vectors resulting from the discretization of th e random fields.