|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
An interface/boundary-unfitted eXtended HDG method for linear elasticity problems | | Yihui Han
; Xiao-Ping Wang
; Xiaoping Xie
; | | Date: |
14 Apr 2020 | | Abstract: | An interface/boundary-unfitted eXtended hybridizable discontinuous Galerkin
(X-HDG) method of arbitrary order is proposed for linear elasticity interface
problems on unfitted meshes with respect to the interface and domain boundary.
The method uses piecewise polynomials of degrees $k (>= 1)$ and $k-1$
respectively for the displacement and stress approximations in the interior of
elements inside the subdomains separated by the interface, and piecewise
polynomials of degree $k$ for the numerical traces of the displacement on the
inter-element boundaries inside the subdomains and on the interface/boundary of
the domain. Optimal error estimates in $L^2$-norm for the stress and
displacement are derived, which are uniform with respect to the Lam’e constant
$lambda$. Finally, numerical experiments confirm the theoretical results and
show that the method also applies to the case of crack-tip domain. | | Source: | arXiv, 2004.6275 | | 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