| Title:
|
RTIN-based strategies for local mesh refinement (English) |
| Author:
|
Kolcun, Alexej |
| Author:
|
Sysala, Stanislav |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Hejnice, June 21-26, 2020 |
| Issue:
|
2020 |
| Year:
|
|
| Pages:
|
59-68 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Longest-edge bisection algorithms are often used for local mesh refinements within the finite element method in 2D. In this paper, we discuss and describe their conforming variant. A particular attention is devoted to the so-called Right-Triangulated Irregular Network (RTIN) based on isosceles right triangles and its tranformation to more general domains. We suggest to combine RTIN with a balanced quadrant tree (QuadTree) decomposition. This combination does not produce hanging nodes within the mesh refinements and could be extended to tetrahedral meshes in 3D. (English) |
| Keyword:
|
mesh refinement |
| Keyword:
|
longest-edge bisection |
| Keyword:
|
right-triangulated irregular network |
| Keyword:
|
balanced quadrant tree |
| Keyword:
|
homomorphic transformation |
| MSC:
|
65D17 |
| MSC:
|
65D18 |
| DOI:
|
10.21136/panm.2020.06 |
| . |
| Date available:
|
2021-05-05T13:39:58Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703101 |
| . |
