.png){kind=icon}
返回
h-Adaptive radial basis function finite difference method for linear elasticity problems
.png){kind=icon}
OA
AI
DOI：10.1007/s00466-022-02249-9.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this research work, the radial basis function finite difference method (RBF-FD) is further developed to solve one- and two-dimensional boundary value problems in linear elasticity. The related differentiation weights are generated by using the extended version of the RBF utilizing a polynomial basis. The type of the RBF is restricted to polyharmonic splines (PHS), i.e., a combination of the odd m-order PHS phi(r) = r(m) with additional polynomials up to degree p will serve as the basis. Furthermore, a new residual-based adaptive point-cloud refinement algorithm will be presented and its numerical performance will be demonstrated. The computational efficiency of the PHS RBF-FD approach is tested by means of the relative errors measured in l(2)-norm on several representative benchmark problems with smooth and non-smooth solutions, using h-adaptive, uniform, and quasi-uniform point-cloud refinement.
Keyword:
Radial basis functions
Finite differences
Polyharmonic splines
Polynomials
Adaptivity
Linear elasticity
期刊
IF:
3.8
论文数:
3.2K
被引数:
9.0K
机构
引用论文
Slight dependence of temperate-forest herbaceous plants, Geum urbanum and Senecio ovatus, on arbuscular mycorrhizal fungi (AMF) enables them to colonise soils with a low level of AMF abundance.png)
PLOS ONEOAAI
PLOS ONEIF0
OAAI分享收藏The overlapped radial basis function-finite difference (RBF-FD) method: A generalization of RBF-FD
OAAI
OAAI分享收藏
查看更多内容