Loading...
Please wait, while we are loading the content...
Similar Documents
Discrete duality finite volume method for mean curvature flow of surfaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tomek, Lukáš Mikula, Karol Remesíková, M. |
| Copyright Year | 2016 |
| Abstract | In this paper we propose a new numerical method for solving the mean curvature flow of surfaces. Two-dimensional surface is usualy approximated by a triangular mesh. Widely used discretization of Laplace-Beltrami operator over triangulated surfaces is the so-called cotangent scheme [7,8]. In the cotangent scheme the unknowns are the vertices of the triangulation. The basic idea of our new approach is to include a representative point of each triangle (vertex of the dual mesh) in the scheme as a supplementary unknown and generalize the discrete duality finite volume method [3] from~$R^2$ to 2D~surfacesembedded in~$R^3$. We derive the numerical scheme and present numerical experiments illustrating the basic properties of the meth od. |
| Starting Page | 33 |
| Ending Page | 43 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.math.sk/mikula/tmr_alg2016.pdf |
| Alternate Webpage(s) | http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/download/392/309 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
