Poloidal and Toroidal Field Modeling in Terms of Locally Supported Vector Wavelets

This paper deals with multiscale modeling of poloidal and toroidal fields such as geomagnetic field and currents. The wavelets are developed from scale-dependent regularizations of the Green function with respect to the Beltrami operator. They are constructed as to be locally compact, thus, allowing a locally reflected (zooming-in) reconstruction of the geomagnetic quantities. Finally, a reconstruction algorithm is indicated in form of a tree algorithm.