Optimal shape parameter for the solution of elastostatic problems with the RBF method
From MaRDI portal
Publication:521032
DOI10.1007/S10665-013-9636-7zbMath1359.74473OpenAlexW2003069971MaRDI QIDQ521032
Stanislav Simonenko, Victor Bayona, Manuel Kindelan
Publication date: 6 April 2017
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10016/31960
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05) Spectral and related methods applied to problems in solid mechanics (74S25)
Related Items (5)
An efficient hybrid algorithm for multiobjective optimization problems with upper and lower bounds in engineering ⋮ An improved local radial basis function method for solving small-strain elasto-plasticity ⋮ Local radial basis function collocation method for linear thermoelasticity in two dimensions ⋮ A meshfree generalized finite difference method for surface PDEs ⋮ Educating local radial basis functions using the highest gradient of interest in three dimensional geometries
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Optimal variable shape parameter for multiquadric based RBF-FD method
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- RBF-FD formulas and convergence properties
- Optimal constant shape parameter for multiquadric based RBF-FD method
- On using radial basis functions in a ``finite difference mode with applications to elasticity problems
- Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier--Stokes equations
- Mesh-free radial basis function method for buckling analysis of non-uniformly loaded arbitrarily shaped shear deformable plates.
- Meshless methods based on collocation with radial basis functions
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- A local radial basis functions -- finite difference technique for the analysis of composite plates
- Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and multiquadrics discretizations
- Computation of natural frequencies of shear deformable beams and plates by an RBF-pseudospectral method
- A meshfree radial point interpolation method (RPIM) for three-dimensional solids
- Scattered node compact finite difference-type formulas generated from radial basis functions
- A meshless method for Kirchhoff plate bending problems
- A point interpolation meshless method based on radial basis functions
This page was built for publication: Optimal shape parameter for the solution of elastostatic problems with the RBF method