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MiS Preprint
4/2003

The numerical solution of the Plateau problem for minimal surfaces of higher topological type. Part I: Annulus type surfaces

Xianqing Li-Jost and Lin Chen

Abstract

We construct minimal surfaces of annulus type and describe the general set-up for a numerical algorithm for producing higher genus minimal surfaces. We treat the details for the case of annulus type minimal surfaces bounded by two disjoint closed rectifiable Jordan curves in $R^3$.

Received:
21.01.2003
Published:
21.01.2003
MSC Codes:
53A10, 58E12, 65L60
Keywords:
minimal surface, finite element, plateau problem

Related publications

Preprint
2003 Repository Open Access
Xianqing Li-Jost and Lin Chen

The numerical solution of the Plateau problem for minimal surfaces of higher topological type : Part I - Annulus type surfaces