TY - INPR A1 - Berkel, Paula A1 - Michel, Volker T1 - On Mathematical Aspects of a Combined Inversion of Gravity and Normal Mode Variations by a Spline Method N2 - This paper provides a brief overview of two linear inverse problems concerned with the determination of the Earth’s interior: inverse gravimetry and normal mode tomography. Moreover, a vector spline method is proposed for a combined solution of both problems. This method uses localised basis functions, which are based on reproducing kernels, and is related to approaches which have been successfully applied to the inverse gravimetric problem and the seismic traveltime tomography separately. T3 - Schriften zur Funktionalanalysis und Geomathematik - 41 KW - Gravimetrie KW - Newtonsches Potenzial KW - Harmonische Funktion KW - Massendichte KW - Inverses Problem KW - Regularisierung KW - Spline KW - Eigenschwingung KW - reproduzierender Kern KW - schlecht gestellt KW - harmonische Dichte KW - Wellengeschwindigkeit KW - normal mode KW - splitting function KW - body wave velocity KW - harmonic density KW - reproducing kernel Y1 - 2008 UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/2038 UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15800 ER -