Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs

DOI10.1137/080730901zbMath1203.41002OpenAlexW1996243745MaRDI QIDQ3056226

Edward J. Fuselier, Grady B. Wright

Publication date: 11 November 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://scholarworks.boisestate.edu/math_facpubs/23

zbMATH Keywords

sphereradial basis functionsnumerical modelingdivergence-freevector field decompositionmesh-freecurl-free

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Computational methods for problems pertaining to geophysics (86-08) Approximation by other special function classes (41A30)

Related Items (max. 100)

Learning from patches by efficient spectral decomposition of a structured kernel ⋮ A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations ⋮ A high-order kernel method for diffusion and reaction-diffusion equations on surfaces ⋮ Quasi-uniformity of minimal weighted energy points on compact metric spaces ⋮ Spectral methods for solving elliptic PDEs on unknown manifolds ⋮ Equidistributed icosahedral configurations on the sphere ⋮ Mesh ratios for best-packing and limits of minimal energy configurations ⋮ Riesz external field problems on the hypersphere and optimal point separation ⋮ Fractional stochastic partial differential equation for random tangent fields on the sphere ⋮ Radial basis functions: developments and applications to planetary scale flows ⋮ RBF-vortex methods for the barotropic vorticity equation on a sphere ⋮ A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem ⋮ Extrinsic Meshless Collocation Methods for PDEs on Manifolds ⋮ Convolutions on the sphere: commutation with differential operators ⋮ A Partition of Unity Method for Divergence-Free or Curl-Free Radial Basis Function Approximation ⋮ A stable algorithm for divergence-free radial basis functions in the flat limit ⋮ Modeling Tangential Vector Fields on a Sphere ⋮ Distributing many points on spheres: minimal energy and designs

This page was built for publication: Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs