Dual bases and discrete reproducing kernels: a unified framework for RBF and MLS approximation

DOI10.1016/j.enganabound.2004.05.007zbMath1182.65096OpenAlexW2058895704MaRDI QIDQ2269224

Gregory E. Fasshauer

Publication date: 16 March 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2004.05.007

zbMATH Keywords

Lagrange multipliersradial basis functionsreproducing kernelmoving least squares approximation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10)

Related Items (5)

The local radial basis function collocation method for elastic wave propagation analysis in 2D composite plate ⋮ A novel identification scheme of an inverse source problem based on Hilbert reproducing kernels ⋮ Multiquadric quasi-interpolation for integral functionals ⋮ Adaptive radial basis function methods for time dependent partial differential equations ⋮ Rational radial basis function interpolation with applications to antenna design

Uses Software

• Mfree2D

Cites Work

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• Regularization networks and support vector machines
• Smoothing by spline functions.
• Surfaces Generated by Moving Least Squares Methods
• THE PARTITION OF UNITY METHOD
• Radial Basis Functions
• SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION

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