|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'500'096
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Divergence-free H(div)-conforming hierarchical bases for Magnetohydrodynamics (MHD) | | Wei Cai
; Jian Wu
; Jianguo Xin
; | | Date: |
20 Oct 2012 | | Abstract: | In order to solve the magnetohydrodynamics (MHD) equations with a
$mathbf{mathcal{H}}(mathbf{div})$-conforming element, a novel approach is
proposed to ensure the exact divergence-free condition on the magnetic field.
The idea is to add on each element an extra interior bubble function from
higher order hierarchical $mathbf{mathcal{H}}(mathbf{div})$-conforming
basis. Four such hierarchical bases for the $mathbf{mathcal{H}}%
(mathbf{div})$-conforming quadrilateral, triangular, hexahedral and
tetrahedral elements are either proposed (in the case of tetrahedral) or
reviewed. Numerical results have been presented to show the linear independence
of the basis functions for the two simplicial elements. Good matrix
conditioning has been confirmed numerically up to the fourth order for the
triangular element and up to the third order for the tetrahedral element. | | Source: | arXiv, 1210.5575 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER