A numerical method for solving the backward heat conduction problem
- Univ. of Leeds (United Kingdom). Dept. of Applied Mathematical Studies
In this study a numerical solution of the one-dimensional transient, nonlinear backward heat conduction problem is developed. The boundary conditions are specified together with the temperature distribution at a particular time. It is then required to determine the initial temperature distribution. The resulting mathematical problem is discretized using a backward time marching boundary element technique. Since the backward heat conduction problem is ill-posed the minimization of the initial inner energy of the system subject to constraints generated by the boundary element discretization is employed in order to determine an accurate and stable solution. The numerically obtained results are in good agreement with the analytical solutions.
- OSTI ID:
- 449529
- Report Number(s):
- CONF-950828-; ISBN 0-7918-1711-3; TRN: IM9714%%86
- Resource Relation:
- Conference: 1995 National heat transfer conference, Portland, OR (United States), 5-9 Aug 1995; Other Information: PBD: 1995; Related Information: Is Part Of 1995 national heat transfer conference: Proceedings. Volume 10: Conjugate heat transfer, inverse problems, and optimization; Inverse problems in heat transfer; HTD-Volume 312; Bryan, W.J.; Beck, J.V. [eds.]; PB: 193 p.
- Country of Publication:
- United States
- Language:
- English
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