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On solving the plateau problem in parametric form

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  • Baruch cahlon
  • Alan D. Solomon
  • Louis J. Nachman

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.

Suggested Citation

  • Baruch cahlon & Alan D. Solomon & Louis J. Nachman, 1983. "On solving the plateau problem in parametric form," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-21, January.
    • Handle: RePEc:hin:jijmms:491284
    DOI: 10.1155/S0161171283000307
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