Splines on the 3-dimensional Ball and their Application to Seismic Body Wave Tomography

  • In this paper we construct spline functions based on a reproducing kernel Hilbert space to interpolate/approximate the velocity field of earthquake waves inside the Earth based on traveltime data for an inhomogeneous grid of sources (hypocenters) and receivers (seismic stations). Theoretical aspects including error estimates and convergence results as well as numerical results are demonstrated.

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Metadaten
Author:Abel Amirbekyan, Volker Michel
URN (permanent link):urn:nbn:de:hbz:386-kluedo-14903
Serie (Series number):Schriften zur Funktionalanalysis und Geomathematik (33)
Document Type:Preprint
Language of publication:English
Year of Completion:2007
Year of Publication:2007
Publishing Institute:Technische Universität Kaiserslautern
Tag:Sobolevräume; lokalisierende Basis
Sobolev spaces; localizing basis
GND-Keyword:Inverses Problem ; Lineare Integralgleichung; Mehrdimensionale Spline-Funktion ; Seismische Tomographie ; Spline-Approximation ; Spline-Interpolation
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):41A15 Spline approximation
45Q05 Inverse problems
86A15 Seismology

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