Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation

DOI10.1007/S10559-008-9031-YzbMath1163.65084OpenAlexW2026857545MaRDI QIDQ1008314

V. M. Kolodyazhny, V. A. Rvachov

Publication date: 27 March 2009

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-008-9031-y

zbMATH Keywords

convergenceDirichlet problemradial basis functionsLaplace equationFourier seriesBessel functionsatomic functions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Hilbert and Riesz transforms using atomic function for quaternionic phase computation ⋮ Controllability problem for the string equation with external load with the use of atomic functions ⋮ A meshless method of solving three-dimensional nonstationary heat conduction problems in anisotropic materials ⋮ Symmetry feature extraction based on quaternionic local phase

Cites Work

• Meshless methods: An overview and recent developments
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Atomic functions of three variables invariant with respect to a rotation group
• Linearized Theory of Unsteady Flow of a Compressible Fluid
• Compactly supported solutions of functional-differential equations and their applications
• Radial Basis Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Atomic radial basis functions in numerical algorithms for solving boundary-value problems for the Laplace equation