The particular solutions for thin plates resting on Pasternak foundations under arbitrary loadings

DOI10.1002/num.20426zbMath1423.74555OpenAlexW2034642312MaRDI QIDQ3404545

Chia-Cheng Tsai

Publication date: 9 February 2010

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20426

zbMATH Keywords

radial basis functionmethod of fundamental solutionsPasternak foundationKirchhoff plates

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Fundamental solutions to PDEs (35A08)

Related Items (2)

Compactly supported radial basis functions for solving certain high order partial differential equations in 3D ⋮ Efficient MFS algorithms for inhomogeneous polyharmonic problems

Cites Work

• The method of fundamental solutions for elliptic boundary value problems
• The method of fundamental solutions for scattering and radiation problems.
• Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Particular solutions of the multi-Helmholtz-type equation
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• Polynomial particular solutions for certain partial differential operators
• Approximation of multivariate functions and evaluation of particular solutions using Chebyshev polynomial and trigonometric basis functions

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