Numerical solution of Plateau’s problem by a finite element method

Hinata, Masahiro; Shimasaki, Masaaki; Kiyono, Takeshi

doi:10.1090/S0025-5718-1974-0331819-6

Numerical solution of Plateau’s problem by a finite element method
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by Masahiro Hinata, Masaaki Shimasaki and Takeshi Kiyono PDF

Math. Comp. 28 (1974), 45-60 Request permission

Abstract:

This paper concerns the application of a finite element method to the numerical solution of a nonrestricted form of the Plateau problem, as well as to a free boundary problem of Plateau type. The solutions obtained here are examined for several examples and are considered to be sufficiently accurate. It is also observed that the hysteresis effect, which is a feature of a nonlinear problem, appears in this problem.

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