Concepedia

A radial basis function approach in the meshless local Petrov-Galerkin method for Euler-Bernoulli beam problems

I. S. Raju, D. R. Phillips, T. Krishnamurthy

Computational Mechanics · 2004 · 26 citations · 16 references

Concepts

EngineeringComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationGrid AdaptationSolid Mechanics ApplicationsStructural Finite Element AnalysisBeam Finite Element FormulationEuler-bernoulli Beam ModelingFinite Element Mesh GenerationGalerkin DiscretizationPetrov-galerkin DiscretizationRadial Basis Function KernelsRadial Basis Function Networks

References

16

Element‐free Galerkin methods

Ted Belytschko, Ye Lu, Linxia Gu · International Journal for Numerical Methods in Engineering · 1994 · 5.6K citations

Computing, Computational Engineering, Computational Mechanics +15

A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics

Satya N. Atluri, Tengteng Zhu · Computational Mechanics · 1998 · 2.3K citations

Engineering, Computational Engineering, Mechanical Engineering +14

Generalizing the finite element method: Diffuse approximation and diffuse elements

Bernard Nayroles, Gilbert Touzot, Pierre Villon · Computational Mechanics · 1992 · 2K citations

Engineering, Computational Engineering, Computational Mechanics +8

Mesh Free Methods: Moving Beyond the Finite Element Method

GR Liu, Dimitrios Karamanlidis · Applied Mechanics Reviews · 2003 · 1.9K citations

Engineering, Civil Engineering, Computational Engineering +11

A point interpolation meshless method based on radial basis functions

Jianguo Wang, G. R. Liu · International Journal for Numerical Methods in Engineering · 2002 · 1K citations

Computing, Computational Engineering, Computational Geometry +16