Premium
Sampling function and finite element method representation of the gravity field
Author(s) -
Schmidt H. F.
Publication year - 1981
Publication title -
reviews of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 8.087
H-Index - 156
eISSN - 1944-9208
pISSN - 8755-1209
DOI - 10.1029/rg019i003p00421
Subject(s) - spherical harmonics , interpolation (computer graphics) , sampling (signal processing) , representation (politics) , spin weighted spherical harmonics , finite element method , gravitational field , field (mathematics) , mathematical analysis , function representation , function (biology) , mathematics , harmonics , physics , classical mechanics , algorithm , optics , pure mathematics , motion (physics) , voltage , law , detector , biology , quantum mechanics , evolutionary biology , political science , thermodynamics , politics , boolean function
After introducing the fundamental method of interpolation and approximation of functions using sampling functions, some examples of one‐dimensional models are demonstrated. Then a method of sampling functions for the representation and determination of the earth’s gravity field—based on spherical harmonics and an arrangement of sampling points on a sphere—is described and discussed by investigating its mathematical implication. Additionally, this method is compared with the finite element method, with a view to the interpolation and modeling of the gravity field of the earth.