Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Numerical solution of Plateau's problem by a finite element method


Authors: Masahiro Hinata, Masaaki Shimasaki and Takeshi Kiyono
Journal: Math. Comp. 28 (1974), 45-60
MSC: Primary 65N35; Secondary 49F10
MathSciNet review: 0331819
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper concerns the application of a finite element method to the numerical solution of a nonrestricted form of the Plateau problem, as well as to a free boundary problem of Plateau type. The solutions obtained here are examined for several examples and are considered to be sufficiently accurate.

It is also observed that the hysteresis effect, which is a feature of a nonlinear problem, appears in this problem.


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


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65N35, 49F10

Retrieve articles in all journals with MSC: 65N35, 49F10


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1974-0331819-6
PII: S 0025-5718(1974)0331819-6
Keywords: A boundary-value problem, a finite element method, a free boundary problem, cylindrical coordinate system, R. Courant's example, the hysteresis effect of Plateau's problem
Article copyright: © Copyright 1974 American Mathematical Society