On solving the plateau problem in parametric form

On solving the plateau problem in parametric form

This paper presents a numerical method for finding the solution of Plateau's problem in parametric form. Using the properties of minimal surfaces we succeded in transferring the problem of finding the minimal surface to a problem of minimizing a functional over a class of scalar functions. A nu...

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Bibliographic Details
Main Authors: Baruch cahlon, Alan D. Solomon, Louis J. Nachman
Format: Article
Language:English
Published: Wiley 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
minimal surface
algorithm
parametric form
Dirichlet's integral
harmonic function.
Online Access:http://dx.doi.org/10.1155/S0161171283000307
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Summary:This paper presents a numerical method for finding the solution of Plateau's problem in parametric form. Using the properties of minimal surfaces we succeded in transferring the problem of finding the minimal surface to a problem of minimizing a functional over a class of scalar functions. A numerical method of minimizing a functional using the first variation is presented and convergence is proven. A numerical example is given.
ISSN:0161-1712
1687-0425

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