caa a22 4500 463246764 CHVBK 20180405153328.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00041-006-6903-2 doi (NATIONALLICENCE)springer-10.1007/s00041-006-6903-2 Divergence-Free RBFs on Surfaces [Elektronische Daten] [Francis J. Narcowich, Joseph D. Ward, Grady B. Wright] This article presents a new tool for fitting a divergence-free vector field tangent to a two-dimensional orientable surface $P \in {\Bbb R}^3$ to samples of such a field taken at scattered sites on P. This method, which involves a kernel constructed from radial basis functions, has applications to problems in geophysics, and has the advantage of avoiding problems with poles. Numerical examples testing the method on the sphere are included. Birkhauser Boston, 2007 Narcowich Francis J. Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA aut Ward Joseph D. Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA aut Wright Grady B. Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA aut Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/6(2007-12-01), 643-663 1069-5869 13:6<643 2007 13 41 https://doi.org/10.1007/s00041-006-6903-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00041-006-6903-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Narcowich Francis J. Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA aut NATIONALLICENCE 700 1- Ward Joseph D. Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA aut NATIONALLICENCE 700 1- Wright Grady B. Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA aut NATIONALLICENCE 773 0- Journal of Fourier Analysis and Applications Birkhäuser-Verlag; www.birkhauser.com 13/6(2007-12-01), 643-663 1069-5869 13:6<643 2007 13 41 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer