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Finite element approximation of  -surfaces
Author(s):
Yuki
Matsuzawa;
Takashi
Suzuki;
Takuya
Tsuchiya.
Journal:
Math. Comp.
72
(2003),
607-617.
MSC (2000):
Primary 65N30, 35J65
Posted:
October 22, 2002
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Abstract:
In this paper a piecewise linear finite element approximation of  -surfaces, or surfaces with constant mean curvature, spanned by a given Jordan curve in  is considered. It is proved that the finite element  -surfaces converge to the exact  -surfaces under the condition that the Jordan curve is rectifiable. Several numerical examples are given.
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Additional Information:
Takashi
Suzuki
Affiliation:
Department of Mathematical Science, Graduate School of Engineering Science, Osaka University, Toyonaka 560-0043, Japan
Email:
suzuki@sigmath.es.osaka-u.ac.jp
Takuya
Tsuchiya
Affiliation:
Department of Mathematical Sciences, Faculty of Science, Ehime University, Matsuyama 790-8577, Japan
Email:
tsuchiya@math.sci.ehime-u.ac.jp
DOI:
10.1090/S0025-5718-02-01447-3
PII:
S 0025-5718(02)01447-3
Keywords:
Finite element method,
constant mean curvature,
$H$-surfaces.
Received by editor(s):
July 10, 2000
Received by editor(s) in revised form:
February 28, 2001
Posted:
October 22, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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