Three-dimensional deformation analysis: Global vector spherical harmonic and local finite element representation

Deformation elements which have global support, such as tidal induced displacements, are represented in terms of vector spherical harmonics. In contrast, local strain and local rotation are represented in terms of irregularly shaped three-dimensional finite elements. These geodetic finite elements reflect the structure of a geodetic network which is arbitrarily shaped. Various continuity classes are discussed. Numerical examples are presented.