Numerical simulation of Plateau's problem of minimal surfaces using nonvariational finite element method. Issue 5 (4th July 2016)

• Record Type: Journal Article
• Authors: Mishra, Garima; Kumar, Manoj
• Is Part Of: Engineering computations. Volume 33:Issue 5(2016)
• Page Start: 1490
• Page End: 1507
• Publication Date: 2016-07-04
• Subjects: Non-linear -- Conforming finite elements -- Finite element Hessian -- Minimal surface -- Non-variational finite-element method; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-05-2015-0136
• Languages: English
• ISSNs: 0264-4401

Abstract

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.