Geodetic Boundary Value Problems in View of the One Centimeter Geoid

The determination of the figure of the Earth (geoid) and its exterior gravitational field in is of special interest to most geoscientists. The book is a state-of-the-art investigation of this important field and benefits from recently developed measurement techniques.

Contenu
Potential theory.- Boundary value problems for harmonic random fields.- Free boundary problems.- Formulation and linearization of boundary value problems: From observables to a mathematical model.- The hierarchy of geodetic BVPs.- GBVPClassical solutions and implementation.- Topographic effects in gravity field modelling for BVP.- Global models for the 1cm geoid Present status and near term prospects.- An introduction to airborne gravimetry and its boundary value problems.- Spherical spectral properties of the earth's gravitational potential and its first and second derivatives.- Satellite altimetry, ocean dynamics and the marine geoid.- Stochastic boundary value problem theory: An elementary example.- Variational methods for geodetic boundary value problems.- Topics on boundary element methods.- Solving geodetic boundary value problems with parallel computers.- Application of boundary value techniques to satellite gradiometry.- The polar gap.- European capabilities and prospects for a spaceborne gravimetric mission.