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Numerical simulation of Plateau’s problem of minimal surfaces using nonvariational finite element method

Garima Mishra (Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, India)
Manoj Kumar (Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, India)

Engineering Computations

ISSN: 0264-4401

Publication date: 4 July 2016

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

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Publisher

:

Emerald Group Publishing Limited

Copyright © 2016, Emerald Group Publishing Limited

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