Novel meshes for multivariate interpolation and approximation

2018 ◽  
Author(s):  
Thomas C. H. Lux ◽  
Layne T. Watson ◽  
Tyler H. Chang ◽  
Jon Bernard ◽  
Bo Li ◽  
...  
Keyword(s):  
Multivariate Interpolation

scholarly journals Multivariate Interpolation of Wind Field Based on Gaussian Process Regression

Atmosphere ◽  
2018 ◽  
Vol 9 (5) ◽  
pp. 194 ◽  
Author(s):  
Miao Feng ◽  
Weimin Zhang ◽  
Xiangru Zhu ◽  
Boheng Duan ◽  
Mengbin Zhu ◽  
...  
Keyword(s):  
Gaussian Process ◽  
Wind Field ◽  
Gaussian Process Regression ◽  
Multivariate Interpolation

Multivariate Interpolation

1997 ◽  
pp. 470-478
Author(s):  
G. G. Lorentz ◽  
R. A. Lorentz
Keyword(s):  
Multivariate Interpolation

scholarly journals Construction of Multivariate Interpolation Hermite Polynomials for Finite Element Method

2020 ◽  
Vol 226 ◽  
pp. 02007
Author(s):  
Galmandakh Chuluunbaatar ◽  
Alexander A. Gusev ◽  
Ochbadrakh Chuluunbaatar ◽  
Vladimir P. Gerdt ◽  
Sergue I. Vinitsky ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Hermite Polynomials ◽  
Analytical Form ◽  
Multivariate Interpolation ◽  
Partial Derivatives ◽  
Helmholtz Problem ◽  
Finite Element Schemes ◽  
Element Method

A new algorithm for constructing multivariate interpolation Hermite polynomials in analytical form in a multidimensional hypercube is presented. These polynomials are determined from a specially constructed set of values of the polynomials themselves and their partial derivatives with continuous derivatives up to a given order on the boundaries of the finite elements. The effciency of the finite element schemes, algor thms and programs is demonstrated by solving the Helmholtz problem for a cube.

Sign in / Sign up

Export Citation Format

Share Document