On solving the plateau problem in parametric form

Baruch Cahlon, Alan D. Solomon and Louis J. Nachman

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-21

Abstract:

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.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:491284

DOI: 10.1155/S0161171283000307

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