Quadratic Finite Volume Element Methods Based on Optimal Stress Points for Solving One-Dimensional Parabolic Problems

DOI

10.2991/aeece-15.2015.129How to use a DOI?

Keywords

quadratic finite volume element method; parabolic equations; optimal stress points; error estimate.

Abstract

A new Lagrangian quadratic finite volume element method based on optimal stress points was presented for solving one-dimensional parabolic problem with trial and test spaces as the Lagrangian quadratic finite volume element space and the piecewise constant function space respectively. It is proved that the method has optimal order H1 and L2 error estimates. The numerical experiment confirms the results of theoretical analysis.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jiahui Sun
AU  - Mingjuan Ma
AU  - Shichun Pang
AU  - Yongpo Zhang
PY  - 2015/09
DA  - 2015/09
TI  - Quadratic Finite Volume Element Methods Based on Optimal Stress Points for Solving One-Dimensional Parabolic Problems
BT  - Proceedings of the International Conference on Advances in Energy, Environment and Chemical Engineering
PB  - Atlantis Press
SP  - 651
EP  - 654
SN  - 2352-5401
UR  - https://doi.org/10.2991/aeece-15.2015.129
DO  - 10.2991/aeece-15.2015.129
ID  - Sun2015/09
ER  -