On two methods for approximating minimal surfaces in parametric form

Tsuchiya, Takuya

doi:10.1090/S0025-5718-1986-0829622-1

On two methods for approximating minimal surfaces in parametric form
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Math. Comp. 46 (1986), 517-529 Request permission

Abstract:

Two methods for approximating minimal surfaces in parametric form are considered. One minimizes the area of the surface, and the other the energy of the surface. The convergence of the algorithm of the first method is proved. The application of the second method to the approximation of conformal maps is examined. Several examples of computations are given.

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