TY - JOUR
T1 - Divergence-free RBFs on surfaces
AU - Narcowich, Francis J.
AU - Ward, Joseph D.
AU - Wright, Grady B.
PY - 2007/12
Y1 - 2007/12
N2 - This article presents a new tool for fitting a divergence-free vector field tangent to a two-dimensional orientable surface P ∈ℝ3 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.
AB - This article presents a new tool for fitting a divergence-free vector field tangent to a two-dimensional orientable surface P ∈ℝ3 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.
KW - Incompressible fluid
KW - Numerical modeling
KW - Radial basis function
KW - Sphere
KW - Vector fields
UR - http://www.scopus.com/inward/record.url?scp=35548941391&partnerID=8YFLogxK
U2 - 10.1007/s00041-006-6903-2
DO - 10.1007/s00041-006-6903-2
M3 - Article
AN - SCOPUS:35548941391
SN - 1069-5869
VL - 13
SP - 643
EP - 663
JO - Journal of Fourier Analysis and Applications
JF - Journal of Fourier Analysis and Applications
IS - 6
ER -