Solution to discrete exterior Dirichlet problem of gravitational potential determination to real geometries. (English) Zbl 1332.31009
The authors propose a numerical solution for the discrete exterior Dirichlet boundary value problem of gravitational potential with respect to the real Earth surface. Using a spline approach for the real Earth, the approximating spline has the same domain of harmonicity as the real gravitational potential.
Reviewer: Manfred Tasche (Rostock)
MSC:
31B20 | Boundary value and inverse problems for harmonic functions in higher dimensions |
65N35 | Spectral, collocation and related methods for boundary value problems involving PDEs |
41A15 | Spline approximation |
86A20 | Potentials, prospecting |