0198-9715/$ see front matter 2013 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.compenvurbsys.2013.06.003 ⇑ Corresponding author. Address: Faculty of Geodesy and Geomatics Engineering, K.N. Toosi University of Technology, Mirdamad Cross, Vali-e-asr Street, Tehran 19967-15333, Iran. Tel: +98 9121940552; fax: +98 2188786213. E-mail addresses: [email protected] (M. Farnaghi...

Spherical splines are used to define approximate solutions to strongly elliptic pseudodifferential equations on the unit sphere. These equations arise from geodesy. The approximate solutions are found by using Galerkin method. We prove optimal convergence (in Sobolev norms) of the approximate solution by spherical splines to the exact solution. Our numerical results underlie the theoretical res...

1 Faculty of Civil Engineering and Geodesy, Technical University Munich, Arcisstr. 21, 80333 Munich, Germany 2 School of Power and Mechanical Engineering, Wuhan University, Luo-Jia-Shan, Wuchang 430072, China 3 College of Pipeline and Civil Engineering, China University of Petroleum, Changjiang Road 66, Qingdaos 266580, China 4 Department of Aeronautics and Astronautics, Massachusetts Institute...

1 Zentralanstalt für Meteorologie und Geodynamik, Vienna, Austria, 2 Department of Geodesy and Geoinformation, Vienna University of Technology, Vienna, Austria, 3 Academic Department of Cryosophy, Earth Cryosphere Institute, Russian Academy of Sciences, Tyumen, Russia, 4 Academic Department of Cryosophy, Tyumen State University, Tyumen, Russia, 5 Svalbard Integrated Arctic Earth Observing Syste...