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

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Submission date: 21. Jan. 2003
Pages: 17
paper prepared for: Numeric Mathematics
MSC-Numbers: 53A10, 58E12, 65L60
Keywords and phrases: minimal surface, finite element, plateau problem
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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 .