Radial basis function interpolation on irregular domain through conformal transplantation

DOI10.1007/s10915-010-9380-3zbMath1203.65025OpenAlexW2105108162MaRDI QIDQ618592

Tobin A. Driscoll, Alfa R. H. Heryudono

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9380-3

zbMATH Keywords

interpolationradial basis functionsmeshfreeSchwarz-christoffel mapping

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Approximations and expansions (41A99)

Related Items (16)

Robust approximation algorithms for the detection of attraction basins in dynamical systems ⋮ Circulant matrix and conformal mapping for solving partial differential equations ⋮ A new class of high-order methods for fluid dynamics simulations using Gaussian process modeling: one-dimensional case ⋮ A Kansa-radial basis function method for elliptic boundary value problems in annular domains ⋮ Optimal selection of local approximants in RBF-PU interpolation ⋮ A variable high-order shock-capturing finite difference method with GP-WENO ⋮ Numerical solution to time-dependent 4D inviscid Burgers' equations ⋮ Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains ⋮ Efficient computation of partition of unity interpolants through a block-based searching technique ⋮ Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method ⋮ Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains ⋮ Kansa-RBF algorithms for elliptic problems in regular polygonal domains ⋮ The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions ⋮ The radial basis function-differential quadrature method for elliptic problems in annular domains ⋮ A distance-based model for spatial prediction using radial basis functions ⋮ Computing with Functions in Spherical and Polar Geometries II. The Disk

Uses Software

• AMD
• Matlab
• Schwarz-Christoffel
• SC Toolbox

Cites Work

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