Geodesic
On semi-implicit numerical method for surface diffusion equation for triangulated surfaces
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1367-1389

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We propose a semi-implicit numerical approach to computation of solutions to the surface diffusion equation for triangulated surfaces. In addition, an algorithm of re-triangulation of surfaces was developed to handle singularities that appear during surface evolution. A number of numerical solutions for different initial surfaces is presented.
Keywords: triangulated surface, semi-implicit numerical methods.
Mots-clés : surface diffusion equation 
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     author = {Yu. D. Efremenko},
     title = {On semi-implicit numerical method for surface diffusion equation for triangulated surfaces},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     publisher = {mathdoc},
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     year = {2021},
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     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a33/}
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Yu. D. Efremenko. On semi-implicit numerical method for surface diffusion equation for triangulated surfaces. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1367-1389. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a33/