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Author

Lishuo Dong

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Preprint Aug 2026

Divergence-free interpolation of tangential vector fields via matrix-valued kernels

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 con...

Zhengjie Sun, Lishuo Dong, Biao Huang · 0 citations
Preprint Aug 2026

Error estimates for vector field interpolation based on generalized matrix-valued kernels

This work develops an operator-based framework for constructing div-free and curl-free matrix-valued kernels using integral and differential operators, which substantially relaxes the regularity requirements of the potential approach and establishes Bernstein-type inequalities for the associated kernel trial spaces.

Zhengjie Sun, Lishuo Dong, Leevan Ling · 1 citation · ⚡1

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