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– Numerical solution of Plateau’s problem of minimal surface using non-variational finite element method. The paper aims to discuss this issue.
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.
Details
Keywords
S. Alliney, A. Strozzi and A. Tralli
A finite element model for the elastohydrodynamic lubrication problem is presented. A coupling between the hydrodynamic equation and the foundation compliance equation is…
Abstract
A finite element model for the elastohydrodynamic lubrication problem is presented. A coupling between the hydrodynamic equation and the foundation compliance equation is performed, then the resulting functional problem is given an ‘extended’ variational formulation. Some preliminary numerical results are also presented.