Minimal surface search by the tunnel method on the Plateau problem 1

2019 ◽  
pp. 129-141
Author(s):  
Toku Nishimura
Keyword(s):  
Minimal Surface ◽  
Plateau Problem

scholarly journals On solving the plateau problem in parametric form

1983 ◽  
Vol 6 (2) ◽  
pp. 341-361
Author(s):  
Baruch cahlon ◽  
Alan D. Solomon ◽  
Louis J. Nachman
Keyword(s):  
Minimal Surface ◽  
Numerical Method ◽  
Minimal Surfaces ◽  
Plateau Problem ◽  
Parametric Form ◽  
First Variation ◽  
Plateau’S Problem ◽  
Numerical Example ◽  
Plateau's Problem ◽  
The First Variation

This paper presents a numerical method for finding the solution of Plateau's problem in parametric form. Using the properties of minimal surfaces we succeded in transferring the problem of finding the minimal surface to a problem of minimizing a functional over a class of scalar functions. A numerical method of minimizing a functional using the first variation is presented and convergence is proven. A numerical example is given.

Visualization of Enneper’s surface by line graphics

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 387-405 ◽  
Author(s):  
Vesna Velickovic
Keyword(s):  
Minimal Surface ◽  
Graphical Representations ◽  
Lines Of Curvature ◽  
Geodesic Lines

Here we study Enneper?s minimal surface and some of its properties. We compute and visualize the lines of self-intersection, lines of intersections with planes, lines of curvature, asymptotic and geodesic lines of Enneper?s surface. For the graphical representations of all the results we use our own software for line graphics.

Binding of Alkenes and Ionic Liquids to B–H-Functionalized Boron Nanoparticles: Creation of Particles with Controlled Dispersibility and Minimal Surface Oxidation

2015 ◽  
Vol 7 (18) ◽  
pp. 9991-10003 ◽  
Author(s):  
Jesus Paulo L. Perez ◽  
Jiang Yu ◽  
Anna J. Sheppard ◽  
Steven D. Chambreau ◽  
Ghanshyam L. Vaghjiani ◽  
...  
Keyword(s):  
Ionic Liquids ◽  
Minimal Surface ◽  
Surface Oxidation

scholarly journals On the Levi-flat Plateau problem

2020 ◽  
Vol 6 (1) ◽  
Author(s):  
Jiří Lebl ◽  
Alan Noell ◽  
Sivaguru Ravisankar
Keyword(s):  
Plateau Problem ◽  
Flat Plateau
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