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Finite Element Approaches to Non-classical Heat Conduction in Solids

S. Bargmann, P. Steinmann1
Chair of Applied Mechanics, Department of Mechanical Engineering, University of Kaiserslautern, Germany

Computer Modeling in Engineering & Sciences 2005, 9(2), 133-150.


The present contribution is concerned with the modeling and computation of non-classical heat conduction. In the 90s Green and Naghdi presented a new theory which is fully consistent. We suggest a solution method based on finite elements for the spatial as well as for the temporal discretization. A numerical example is compared to existing experimental results in order to illustrate the performance of the method.


Galerkin finite elements, heat conduction, second sound

Cite This Article

Bargmann, S., Steinmann, P. (2005). Finite Element Approaches to Non-classical Heat Conduction in Solids. CMES-Computer Modeling in Engineering & Sciences, 9(2), 133–150.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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