H1- Galerkin mixed finite element approximation of one class of heat transport equations

Fengxin Chen, Yu Shi

Abstract


In this paper, we investigate a fully discrete H1-Galerkin mixed finite element approximation of a class of heat transport equations. The Crank-Nicloson scheme is used for time discretization. Optimal error estimates in L2-norm for the unknown function and its gradient function are obtained. A numerical example is presented to illustrate the theoretical findings.

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How to Cite this Article:

Fengxin Chen, Yu Shi, H1- Galerkin mixed finite element approximation of one class of heat transport equations, Journal of Mathematical and Computational Science, Vol 3, No 3 (2013), 918-928

Copyright © 2013 Fengxin Chen, Yu Shi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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