Vectorial interpolation using radial-basis-like functions

DOI10.1016/S0898-1221(01)00294-2zbMath1006.65012MaRDI QIDQ1609107

Fabrice Dodu, Christophe Rabut

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplessemi-Hilbertian spacesvariational splinesradial-basis functionssemikernelsvectorial scattered data interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (15)

Implicit Surface Reconstruction With a Curl-Free Radial Basis Function Partition of Unity Method ⋮ Function spaces for conditionally positive definite operator-valued kernels ⋮ A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations ⋮ Error estimates for interpolating div-curl splines under tension on a bounded domain ⋮ Pseudo-polyharmonic vectorial approximation for div-curl and elastic semi-norms ⋮ A divergence-free generalized moving least squares approximation with its application ⋮ Spline approximation of gradient fields: applications to wind velocity fields ⋮ Meshfree Vectorial Interpolation Based on the Generalized Stokes Problem ⋮ A numerical study of divergence-free kernel approximations ⋮ Error estimates for vectorial interpolating div-rot splines under tension ⋮ Approximation by smoothing variational vector splines for noisy data ⋮ Approximation of vector fields using discrete div-rot variational splines in a finite element space ⋮ Irrotational or divergence-free interpolation ⋮ A High-Order, Analytically Divergence-Free Approximation Method for the Time-Dependent Stokes Problem ⋮ DIV-CURL WEIGHTED MINIMIZING SPLINES

Cites Work

• A vector spline approximation
• Hilbertian kernels and spline functions
• Kriging, cokriging, radial basis functions and the role of positive definiteness
• Inf-convolution spline pour l'approximation de données discontinues
• Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions
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