Wakeni, M. F. , Reddy, D. and McBride, A. T. (2016) An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods. Computer Methods in Applied Mechanics and Engineering, 306, pp. 427-451. (doi: 10.1016/j.cma.2016.03.040)
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Abstract
An efficient time-stepping algorithm is proposed based on operator-splitting and the space–time discontinuous Galerkin finite element method for problems in the non-classical theory of thermoelasticity. The non-classical theory incorporates three models: the classical theory based on Fourier’s law of heat conduction resulting in a hyperbolic–parabolic coupled system, a non-classical theory of a fully-hyperbolic extension, and a combination of the two. The general problem is split into two contractive sub-problems, namely the mechanical phase and the thermal phase. Each sub-problem is discretized using the space–time discontinuous Galerkin finite element method. The sub-problems are stable which then leads to unconditional stability of the global product algorithm. A number of numerical examples are presented to demonstrate the performance and capability of the method.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | McBride, Professor Andrew and Wakeni, Dr Mebratu |
| Authors: | Wakeni, M. F., Reddy, D., and McBride, A. T. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Computer Methods in Applied Mechanics and Engineering |
| Publisher: | Elsevier |
| ISSN: | 0045-7825 |
| ISSN (Online): | 1879-2138 |
| Published Online: | 19 April 2016 |
| Copyright Holders: | Copyright © 2016 Elsevier |
| First Published: | First published in Computer Methods in Applied Mechanics and Engineering 306:427-451 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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