Application of radial basis functions to linear and nonlinear structural analysis problems

DOI10.1016/j.camwa.2006.04.008zbMath1148.41031OpenAlexW2054947071MaRDI QIDQ936713

Vitor M. A. Leitão, Carlos M. Tiago

Publication date: 19 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.04.008

zbMATH Keywords

radial basis functionscollocationmeshless methodsstructural analysis problems

Mathematics Subject Classification ID

Multidimensional problems (41A63) Algorithms for approximation of functions (65D15)

Related Items (6)

RBF-based meshless method for the free vibration of beams on elastic foundations ⋮ Performance sensitivity of helicopter global and local optimal harmonic vibration controller ⋮ Multiquadric radial basis function approximation method and asymptotic numerical method for nonlinear and linear static analysis of single-walled carbon nanotubes ⋮ RBF meshless method for large deflection of thin plates with immovable edges ⋮ Diffusion maps-aided neural networks for the solution of parametrized PDEs ⋮ Application of radial basis functions to the problem of elasto-plastic torsion of prismatic bars

Uses Software

• Mathematica
• Matlab

Cites Work

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• The method of finite spheres
• Meshless methods based on collocation with radial basis functions
• A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Generalized finite element method in structural nonlinear analysis -- a \(p\)-adaptive strategy
• Compactly supported positive definite radial functions
• RBF-based meshless methods for 2D elastostatic problems
• A meshless method for Kirchhoff plate bending problems
• Generalized finite differences using fundamental solutions
• The finite difference method at arbitrary irregular grids and its application in applied mechanics
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• Exponential convergence andH-c multiquadric collocation method for partial differential equations
• New concepts in meshless methods

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