TY - INPR
A1 - Bauer, Frank
A1 - Freeden, Willi
A1 - Schreiner, Michael
T1 - A Tree Algorithm for Isotropic Finite Elements on the Sphere
N2 - The Earth's surface is an almost perfect sphere. Deviations from its spherical shape are less than 0,4% of its radius and essentially arise from its rotation. All equipotential surfaces are nearly spherical, too. In consequence, multiscale modelling of geoscientifically relevant data on the sphere involving rotational symmetry of the trial functions used for the approximation plays an important role. In this paper we deal with isotropic kernel functions showing local support and (one-dimensional) polynomial structure (briefly called isotropic finite elements) for reconstructing square--integrable functions on the sphere. Essential tool is the concept of multiresolution analysis by virtue of the spherical up function. The main result is a tree algorithm in terms of (low--order) isotropic finite elements.
T3 - Schriften zur Funktionalanalysis und Geomathematik - 3
KW - Locally Supported Radial Basis Functions
KW - Multisresolution Analysis
KW - Spherical
KW - Up Functions
Y1 - 2003
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1447
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-12684
ER -