论文信息 - A finite element method for the computation of parametric minimal surfaces

A finite element method for the computation of parametric minimal surfaces

We present a numerical method for the computation of discrete solutions of the Plateau Problem. This problem consists in the investigation of minimal surfaces bounded by a prescribed Jordan curve in space. The numerical method allows to compute unstable minimal surfaces with prescribed boundary. It is based on a Boundary Element Method for which asymptotic convergence was proved and which uses the Douglas Integral. Here we extend the BEM to a Finite Element Method for piecewise linear elements.

Gerhard Dziuk | John E. Hutchinson | G. Dziuk | J. Hutchinson

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