Numerical simulation of Plateau’s problem of minimal surfaces using nonvariational finite element method
Abstract
Purpose
Numerical solution of Plateau’s problem of minimal surface using non-variational finite element method. The paper aims to discuss this issue.
Design/methodology/approach
An efficient algorithm is proposed for the computation of minimal surfaces and numerical results are presented.
Findings
The solutions obtained here are examined for different cases of non-linearity and are found sufficiently accurate.
Originality/value
The manuscript provide the non-variational solution for Plateau’s problem. Thus it has a good value in engineering application.
Keywords
Acknowledgements
This research work is supported by financial grant No. 9/1032(0005)2K14-EMR-I sponsored by Council of Scientific and Industrial Research, New Delhi, Government of India. The authors express their sincere thanks to editor in chief, editor and reviewers for their valuable suggestions to revise this manuscript.
Citation
Mishra, G. and Kumar, M. (2016), "Numerical simulation of Plateau’s problem of minimal surfaces using nonvariational finite element method", Engineering Computations, Vol. 33 No. 5, pp. 1490-1507. https://doi.org/10.1108/EC-05-2015-0136
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited