| Title:
|
Gaussian curvature based tangential redistribution of points on evolving surfaces (English) |
| Author:
|
Medľa, Matej |
| Author:
|
Mikula, Karol |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
255-264 |
| . |
| Category:
|
math |
| . |
| Summary:
|
There exist two main methods for computing a surface evolution, level-set method and Lagrangian method. Redistribution of points is a crucial element in a Lagrangian approach. In this paper we present a point redistribution that compress quads in the areas with a high Gaussian curvature. Numerical method is presented for a mean curvature flow of a surface approximated by quads. (English) |
| Keyword:
|
Surface evolution, point redistribution, finite volume method, mean curvature flow |
| MSC:
|
53C44 |
| MSC:
|
65M08 |
| MSC:
|
65M50 |
| . |
| Date available:
|
2019-09-27T08:07:23Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703027 |
| . |
| Reference:
|
[1] Freitag, L. A.: On combining Laplacian and optimization-based mesh smoothing techniques., American Society of Mechanical Engineers, Applied Mechanics Division, AMD, (1999). |
| Reference:
|
[2] Húska, M., Medľa, M., Mikula, K., Morigi, S.: Surface quadrangulation., in preparation. |
| Reference:
|
[3] Liu, D., Xu, G.: Angle deficit approximation of Gaussian curvature and its convergence over quadrilateral meshes., In Computer-Aided Design, Volume 39, Issue 6, 2007, pp. 506-517, ISSN 0010-4485, https://doi.org/10.1016/j.cad.2007.01.007. 10.1016/j.cad.2007.01.007 |
| Reference:
|
[4] Mikula, K., Remešíková, M., Sarkoci, P., Ševčovič, D.: Manifold evolution with tangential redistribution of points., SIAM J. Scientific Computing, 36, No. 4 (2014), pp. A1384-A1414. MR 3226752, 10.1137/130927668 |
| Reference:
|
[5] Ševčovič, D., Yazaki, S.: Evolution of plane curves with a curvature adjusted tangential velocity., Japan J. Indust. Appl. Math., 28(3) (2011), 413-442. MR 2846183, 10.1007/s13160-011-0046-9 |
| . |
