Diffuse-interface treatment of the anisotropic mean-curvature flow
Applications of Mathematics (2003)
- Volume: 48, Issue: 6, page 437-453
- ISSN: 0862-7940
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topBeneš, Michal. "Diffuse-interface treatment of the anisotropic mean-curvature flow." Applications of Mathematics 48.6 (2003): 437-453. <http://eudml.org/doc/33159>.
@article{Beneš2003,
abstract = {We investigate the motion by mean curvature in relative geometry by means of the modified Allen-Cahn equation, where the anisotropy is incorporated. We obtain the existence result for the solution as well as a result concerning the asymptotical behaviour with respect to the thickness parameter. By means of a numerical scheme, we can approximate the original law, as shown in several computational examples.},
author = {Beneš, Michal},
journal = {Applications of Mathematics},
keywords = {mean-curvature flow; phase-field method; FDM; Finsler geometry; mean-curvature flow; phase-field method; FDM; Finsler geometry},
language = {eng},
number = {6},
pages = {437-453},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Diffuse-interface treatment of the anisotropic mean-curvature flow},
url = {http://eudml.org/doc/33159},
volume = {48},
year = {2003},
}
TY - JOUR
AU - Beneš, Michal
TI - Diffuse-interface treatment of the anisotropic mean-curvature flow
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 6
SP - 437
EP - 453
AB - We investigate the motion by mean curvature in relative geometry by means of the modified Allen-Cahn equation, where the anisotropy is incorporated. We obtain the existence result for the solution as well as a result concerning the asymptotical behaviour with respect to the thickness parameter. By means of a numerical scheme, we can approximate the original law, as shown in several computational examples.
LA - eng
KW - mean-curvature flow; phase-field method; FDM; Finsler geometry; mean-curvature flow; phase-field method; FDM; Finsler geometry
UR - http://eudml.org/doc/33159
ER -
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Citations in EuDML Documents
top- Pavel Strachota, Implementation of the MR tractography visualization kit based on the anisotropic Allen-Cahn equation
- Dieu Hung Hoang, Michal Beneš, Forced anisotropic mean curvature flow of graphs in relative geometry
- Michal Beneš, Shigetoshi Yazaki, Masato Kimura, Computational studies of non-local anisotropic Allen-Cahn equation
- Tomáš Oberhuber, Atsushi Suzuki, Vítězslav Žabka, The CUDA implementation of the method of lines for the curvature dependent flows
- Miroslav Kolář, Michal Beneš, Daniel Ševčovič, Computational studies of conserved mean-curvature flow
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