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

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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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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 formula3.

04.01.2023, 02:12