Finite element approximation of H-surfaces

Authors:
Yuki Matsuzawa;Takashi Suzuki;Takuya Tsuchiya
Affiliations:
-;Department of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Japan;Department of Mathematical Sciences, Faculty of Science, Ehime University, Matsuyama, Japan
Venue:
Mathematics of Computation
Year:
2003

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Abstract

In this paper a piecewise linear finite element approximation of H-surfaces, or surfaces with constant mean curvature, spanned by a given Jordan curve in R3 is considered. It is proved that the finite element H- surfaces converge to the exact H-surfaces under the condition that the Jordan curve is rectifiable. Several numerical examples are given.