Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Finite element approximation of $H$-surfaces


Authors: Yuki Matsuzawa, Takashi Suzuki and Takuya Tsuchiya
Journal: Math. Comp. 72 (2003), 607-617
MSC (2000): Primary 65N30, 35J65
DOI: https://doi.org/10.1090/S0025-5718-02-01447-3
Published electronically: October 22, 2002
MathSciNet review: 1954958
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 $\textbf{R}^3$ 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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC (2000): 65N30, 35J65

Retrieve articles in all journals with MSC (2000): 65N30, 35J65


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: https://doi.org/10.1090/S0025-5718-02-01447-3
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
Published electronically: October 22, 2002
Article copyright: © Copyright 2002 American Mathematical Society