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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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Metadaten
Author:Anna Luther
URN:urn:nbn:de:hbz:386-kluedo-21353
Advisor:Willi Freeden
Document Type:Doctoral Thesis
Language of publication:English
Year of Completion:2007
Year of first Publication:2007
Publishing Institution:Technische Universität Kaiserslautern
Granting Institution:Technische Universität Kaiserslautern
Acceptance Date of the Thesis:2007/06/05
Date of the Publication (Server):2007/10/25
Tag:Sphärische Approximation; Vektorfeldapproximation
Vectorfield approximation; spherical approximation
GND Keyword:Spline-Approximation; Harmonische Spline-Funktion
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D05 Interpolation
65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D07 Splines
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011