=ADD=
=reftype=
14
=number=
02-13
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2002/02-13.ps.gz
=year=
2002
=month=
07
=author=
Gu; Hong
=title=
The Finite Element Approximation for Minimal Surfaces Subject to the Plateau Problems
=abstract=
This paper talks about generating the minimal surfaces 
which are subject to the well-known Plateau problem.
The differential form of the Plateau problem is defined at first and,
its associated discrete schemes which reduced from the 
finite element methods could be practically solved by the numerical 
iteration methods like the Newton's iteration. 
The convergence property of the finite element solutions
are proved by steps and some multi-grid algorithms have been implemented 
to speed up the computation.
These new approximation methods will be applied to the project of
generating 
the minimal surfaces on computer softwares later. 
=note=
Conference proceedings (Accepted)
=howpublished=
CST2002 (The Sixth International Conference on Computational Structures Technology), Prague, Czech Rep., Sept. 4-6, 2002.
=sponsor=
Partially supported by the Austrian ``Fonds zur F\"orderung der wissenschaftlichen Forschung (FWF)'' under project nr. SFB F013/F1304
=keywords=
plateau problem, variational form, convexity, brouwer's fixed point theorem, finite element, maximum value principle, multigrid method