A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Explicit expression and regularization of the harmonic reproducing kernels for the earth's ellipsoid
Abstract The reproducing kernel functions and the integral formulae involving the solutions of the fixed gravimetric boundary value problems for the earth's ellipsoid are investigated in a suitable polar coordinate system defined on the boundary ellipsoid. The infinite series expressions of the reproducing kernel functions are represented explicitly up to the square of the first excentricity of the boundary surface. The obtained results show that the reproducing kernel functions for the earth's ellipsoid are, in contrast to the case of the spherical boundary, inhomogeneous and anisotropic. Moreover, the anisotropy is stronger near the pole. Subsequently the kernel functions are regularized in order to overcome the weak singularity of the integrals.
Explicit expression and regularization of the harmonic reproducing kernels for the earth's ellipsoid
Abstract The reproducing kernel functions and the integral formulae involving the solutions of the fixed gravimetric boundary value problems for the earth's ellipsoid are investigated in a suitable polar coordinate system defined on the boundary ellipsoid. The infinite series expressions of the reproducing kernel functions are represented explicitly up to the square of the first excentricity of the boundary surface. The obtained results show that the reproducing kernel functions for the earth's ellipsoid are, in contrast to the case of the spherical boundary, inhomogeneous and anisotropic. Moreover, the anisotropy is stronger near the pole. Subsequently the kernel functions are regularized in order to overcome the weak singularity of the integrals.
Explicit expression and regularization of the harmonic reproducing kernels for the earth's ellipsoid
Thông, Nguyen Chí (author)
Journal of Geodesy ; 70
1996
Article (Journal)
English
BKL:
38.73
Geodäsie
Dimension of the Earth’s mean ellipsoid specified by Brovar’s modified conditions
| Online Contents | 2004
High-order Finite Volume Methods and Multiresolution Reproducing Kernels
| Online Contents | 2008
Reproducing Kernels for Polynomial Null-Solutions of Dirac Operators
| British Library Online Contents | 2016
Solution of the Dirichlet and Stokes exterior boundary problems for the Earth's ellipsoid
| Online Contents | 2001
Rigidity Theorems, Boundary Interpolation and Reproducing Kernels for Generalized Schur Functions
| British Library Online Contents | 2009