Abstract
A general problem of parameter sensitivity of non-linear transient thermal systems is considered. The non-linear sensitivity path is followed by a weighted residual method employing the continuum description. The resulting finite element equations are derived. Both the direct differentiation and adjoint system methods are employed to evaluate sensitivity functional increments during the integration time step. Numerical results illustrate the method proposed.
References
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[3] K. Dems. Sensitivity analysis in thermal problems - I: Variation of material parameter within a fixed domain. J. of Thermal Stresses, 9: 303- 324, 1986.
[4] K. Dems. Sensitivity analysis in thermal problems - II: Structural shape variation. J. of Thermal Stresses, 10: 1-16, 1987.
[5] K. Dems, Z. Mróz. Variational approach to first and second-order sensitivity analysis. Int. J. Num. Meth. Engng., 21 : 637- 646, 1985.
