Discrete solution of the Plateau problem and its convergence

Author:
Takuya Tsuchiya

Journal:
Math. Comp. **49** (1987), 157-165

MSC:
Primary 49F10; Secondary 49D15

DOI:
https://doi.org/10.1090/S0025-5718-1987-0890259-0

MathSciNet review:
890259

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Abstract: In this paper we define a discrete solution of the Plateau problem and we prove theorems for the convergence of the discrete solution when the contour satisfies a certain condition. A numerical example is given.

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DOI:
https://doi.org/10.1090/S0025-5718-1987-0890259-0

Article copyright:
© Copyright 1987
American Mathematical Society