Some minimal surfaces visualized with GRAPE
Enneper's contour
This contour bounds three distinct minimal surfaces. The surface in the middle is unstable.
The vertices of the bounding polygonal countour lie on the surface of a catenoid. The surface in the middle is unstable.
Related publications
- On the Numerical Approximation and Computation of Minimal-Surface-Continua bounded by One-Parameter-Families of Polygonal Contours Applied Numerical Mathematics 25, 89-116 (1997) abstract gzip ps-file
- On the Numerical Approximation of Unstable Minimal Surfaces with Polygonal Boundaries
Numer. Math. 73, 95-118 (1996) abstract gzip ps-file
- On a simple and reliable Method to compute all Roots of a Vector-Function with an Application to the Minimal Surface Problem for Polygons
Technische Universität Berlin, (1995)
- On the Numerical Treatment of Minimal Surfaces with Polygonal Boundaries
PhD (1994), Technische Universität Berlin abstract
- On the Numerical Treatment of Quasiminimal Surfaces
Impact of Computing in Science and Engineering 5, 249-270 (1993) abstract gzip ps-file
- On a simple method to compute polygonal minimal surfaces
SFB 288 PREPRINT No. 33 (1992), Technische Universität Berlin abstract gzip ps-file
- Zur numerischen Behandlung des Marx-Shiffmanschen Randwertproblems
Diploma thesis (1990), Universität Bonn abstract
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