Vector Field Approximation on Regular Surfaces in Terms of Outer Harmonic Representations

  • The present work deals with the (global and local) modeling of the windfield on the real topography of Rheinland-Pfalz. Thereby the focus is on the construction of a vectorial windfield from low, irregularly distributed data given on a topographical surface. The developed spline procedure works by means of vectorial (homogeneous, harmonic) polynomials (outer harmonics) which control the oscillation behaviour of the spline interpoland. In the process the characteristic of the spline curvature which defines the energy norm is assumed to be on a sphere inside the Earth interior and not on the Earth’s surface. The numerical advantage of this method arises from the maximum-minimum principle for harmonic functions.
  • Vektorfeldapproximation auf regulären Flächen mittels Outer Harmonics

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Author:Anna Luther
URN (permanent link):urn:nbn:de:hbz:386-kluedo-21353
Advisor:Willi Freeden
Document Type:Doctoral Thesis
Language of publication:English
Year of Completion:2007
Year of Publication:2007
Publishing Institute:Technische Universität Kaiserslautern
Granting Institute:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2007/06/05
Tag:Sphärische Approximation; Vektorfeldapproximation
Vectorfield approximation; spherical approximation
GND-Keyword:Harmonische Spline-Funktion; Spline-Approximation
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):65D05 Interpolation
65D07 Splines

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