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A finite element method for the computation of parametric minimal surfaces

In: Tatra Mountains Mathematical Publications, vol. 4, no. 1
Gerhard Dziuk - Joan P. Hutchinson
Detaily:
Rok, strany: 1994, 49 - 62
O článku:
We present a numerical method for the computation of discrete solutions of the Plateau Problem. This problem consists of 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.
Ako citovať:
ISO 690:
Dziuk, G., Hutchinson, J. 1994. A finite element method for the computation of parametric minimal surfaces. In Tatra Mountains Mathematical Publications, vol. 4, no.1, pp. 49-62. 1210-3195.

APA:
Dziuk, G., Hutchinson, J. (1994). A finite element method for the computation of parametric minimal surfaces. Tatra Mountains Mathematical Publications, 4(1), 49-62. 1210-3195.