Kavli Affiliate: Biao Huang | Summary:We develop and analyze a family of divergence-free kernel interpolation methods for tangential vector fields on the unit sphere. Starting from scalar radial kernels in Euclidean space, we construct tangent-valued, surface divergence-free matrix kernels without repeatedly applying surface differential operators. The construction separates the geometric enforcement of the divergence-free constraint […]
Continue.. Divergence-free interpolation of tangential vector fields via matrix-valued kernels