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ASME Press Select Proceedings

International Conference on Information Technology and Computer Science, 3rd (ITCS 2011)

Editor
V. E. Muhin
V. E. Muhin
National Technical University of Ukraine
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W. B. Hu
W. B. Hu
Wuhan University
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ISBN:
9780791859742
No. of Pages:
656
Publisher:
ASME Press
Publication date:
2011

An H1-Galerkin mixed finite element approximate scheme is established with nonconforming quasi-Wilson element for the dual phase lagging heat conduction equation. By use of bilinear element and a special property of quasi-Wilson element, i.e. its consistency error is one order higher than the interpolation error, then the corresponding optimal error estimate is derived. At the same time, the generalized elliptic projection and LBB consistency condition are not necessary, which are indispensable for classical error estimates of most finite element methods.

Abstract
Keywords
Introduction
Construction of the Elements
Semi-Discrete Scheme of the H1 -Galerkin Mixed Finite Element Method
Error Estimates
Conclusion
Acknowledgments
References
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