Abstract
The gradient theory for the surface tension of simple fluids and mixtures is rigorously analyzed based on mathematical theory. The finite element approximation of surface tension is developed and analyzed, and moreover, an adaptive finite element method based on a physical-based estimator is proposed and it can be coupled efficiently with Newton's method as well. The numerical tests are carried out both to verify the proposed theory and to demonstrate the efficiency of the proposed method. © 2013 Elsevier B.V. All rights reserved.
Original language | English (US) |
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Pages (from-to) | 593-604 |
Number of pages | 12 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 255 |
DOIs | |
State | Published - Jan 2014 |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledgements: This work is support by the Key Project of Chinese Ministry of Education (No. 212109) and the Scientific and Technical Research Project of Hubei Provincial Department of Education (No. D20132701). The authors also cheerfully appreciate the generous support of the university research fund to the Computational Transport Phenomena Laboratory at KAUST.
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics