On solving the plateau problem in parametric form | Zendy

Baruch Cahlon | Zendy; A. D. Solomon | Zendy; Louis J. Nachman | Zendy

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On solving the plateau problem in parametric form

Author(s) -

Baruch Cahlon,

A. D. Solomon,

Louis J. Nachman

Publication year - 1981

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/s0161171283000307

Subject(s) - mathematics , parametric statistics , convergence (economics) , minimal surface , mathematical optimization , numerical analysis , scalar (mathematics) , class (philosophy) , plateau (mathematics) , surface (topology) , mathematical analysis , geometry , computer science , statistics , artificial intelligence , economics , economic growth

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

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