Geodesic
Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution
Lukáš Tomek1 ; M. Remešíková1 ; K. Mikula1 ; Lukáš Tomek ; M. Remešíková ; K. Mikula
1Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 810 05 Bratislava
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 55-72 
Lukáš Tomek; M. Remešíková; K. Mikula; Lukáš Tomek; M. Remešíková; K. Mikula. Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 55-72. http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a4/
@article{AMUC_2018_87_1_a4,
     author = {Luk\'a\v{s} Tomek and M. Reme\v{s}{\'\i}kov\'a and K. Mikula and Luk\'a\v{s} Tomek and M. Reme\v{s}{\'\i}kov\'a and K. Mikula},
     title = { Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {55--72},
     year = {2018},
     volume = {87},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a4/}
}
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AU  - M. Remešíková
AU  - K. Mikula
TI  - Computing minimal surfaces by mean curvature flow with area-oriented tangential redistribution
JO  - Acta mathematica Universitatis Comenianae
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%A K. Mikula
%A Lukáš Tomek
%A M. Remešíková
%A K. Mikula
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%J Acta mathematica Universitatis Comenianae
%D 2018
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%N 1
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%F AMUC_2018_87_1_a4

Voir la notice de l'article provenant de la source Comenius University

In this paper we use a surface evolution model for construction of minimal surfaces with given boundary curves. The initial surface topologically equivalent to a desired minimal surface is evolved by mean curvature ow. To improve the quality of the mesh we propose an area-oriented tangential redistribution of the grid points. We derive the numerical scheme and present several numerical experiments.