A short note on inf-sup conditions for the Taylor-Hood family $Q_k$-$Q_{k-1}$
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929319586037760 |
|---|---|
| author | Zulehner, Walter |
| author_facet | Zulehner, Walter |
| contents | We discuss two types of discrete inf-sup conditions for the Taylor-Hood family $Q_k$-$Q_{k-1}$ for all $k\in \mathbb{N}$ with $k\ge 2$ in 2D and 3D. While in 2D all results hold for a general class of hexahedral meshes, the results in 3D are restricted to meshes of parallelepipeds. The analysis is based on an element-wise technique as opposed to the widely used macroelement technique. This leads to inf-sup conditions on each element of the subdivision as well as to inf-sup conditions on the whole computational domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_14223 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A short note on inf-sup conditions for the Taylor-Hood family $Q_k$-$Q_{k-1}$ Zulehner, Walter Numerical Analysis We discuss two types of discrete inf-sup conditions for the Taylor-Hood family $Q_k$-$Q_{k-1}$ for all $k\in \mathbb{N}$ with $k\ge 2$ in 2D and 3D. While in 2D all results hold for a general class of hexahedral meshes, the results in 3D are restricted to meshes of parallelepipeds. The analysis is based on an element-wise technique as opposed to the widely used macroelement technique. This leads to inf-sup conditions on each element of the subdivision as well as to inf-sup conditions on the whole computational domain. |
| title | A short note on inf-sup conditions for the Taylor-Hood family $Q_k$-$Q_{k-1}$ |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2205.14223 |