Uniform Hermite interpolation of type total degree

1992 ◽  
pp. 103-138
Author(s):  
Rudolph A. Lorentz
Keyword(s):  
Hermite Interpolation ◽  
Total Degree

scholarly journals On the Singularity of Multivariate Hermite Interpolation of Total Degree

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Zhongyong Hu ◽  
Zhaoliang Meng ◽  
Zhongxuan Luo
Keyword(s):  
Numerical Method ◽  
Hermite Interpolation ◽  
Interpolation Space ◽  
Total Degree ◽  
Theoretical Argument ◽  
Multivariate Hermite Interpolation

We study the singularity of multivariate Hermite interpolation of type total degree onmnodes with3+d<m≤d(d+3)/2. We first check the number of the interpolation conditions and the dimension of interpolation space. And then the singularity of the interpolation schemes is decided for most cases. Also some regular interpolation schemes are derived, a few of which are proved due to theoretical argument and most of which are verified by numerical method. There are some schemes to be decided and left open.

On the Hermite interpolation

2007 ◽  
Vol 50 (11) ◽  
pp. 1651-1660 ◽  
Author(s):  
Xing-hua Wang
Keyword(s):  
Hermite Interpolation

Algorithm 211: Hermite interpolation

1963 ◽  
Vol 6 (10) ◽  
pp. 617 ◽  
Author(s):  
George R. Schubert
Keyword(s):  
Hermite Interpolation

Wavelet Finite Element Method Analysis of Bending Plate Based on Hermite Interpolation

2013 ◽  
Vol 389 ◽  
pp. 267-272 ◽  
Author(s):  
Peng Shen ◽  
Yu Min He ◽  
Zhi Shan Duan ◽  
Zhong Bin Wei ◽  
Pan Gao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Thin Plate ◽  
Hermite Interpolation ◽  
Energy Functional ◽  
Field Function ◽  
Wavelet Finite Element Method ◽  
Wavelet Finite Element ◽  
Crack Problems ◽  
Element Method

In this paper, a new kind of finite element method (FEM) is proposed, which use the two-dimensional Hermite interpolation scaling function constructed by tensor product as the basis interpolation function of field function, and then combine with the energy functional with related mechanics and variational principle, the wavelet finite element equations for solving elastic thin plate unit that constructed in this paper are derived. Then the bending problem of thin plate is solved very quickly and availably through the matlab program. The numerical example in this paper indicates the correctness and validity of this method, and has high calculation precision and convergence speed. Moreover, it also provides a reliable method to solve the free vibration problem of thin plate and the pipe crack problems.

Hermite interpolation with simple planar PH curves by speed reparametrization

2008 ◽  
Vol 25 (4-5) ◽  
pp. 214-229 ◽  
Author(s):  
Jae Hoon Kong ◽  
Seung Pil Jeong ◽  
Sunhong Lee ◽  
Gwang Il Kim
Keyword(s):  
Hermite Interpolation

scholarly journals Hermite interpolation by piecewise polynomial surfaces with polynomial area element

2017 ◽  
Vol 51 ◽  
pp. 30-47 ◽  
Author(s):  
Michal Bizzarri ◽  
Miroslav Lávička ◽  
Zbyněk Šír ◽  
Jan Vršek
Keyword(s):  
Hermite Interpolation ◽  
Piecewise Polynomial ◽  
Area Element
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