Strong-form approach to elasticity: hybrid finite difference-meshless collocation method (FDMCM)

DOI10.1016/j.apm.2017.09.028zbMath1480.65353OpenAlexW2757334231MaRDI QIDQ2295267

V. C. Loukopoulos, Konstantinos A. Mountris, L. Lavier, George Bourantas, Karol Miller, Grand Roman Joldes, Adam Wittek

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://api.research-repository.uwa.edu.au/ws/files/25282267/PDF_Strong_form_approach_to_elasticity_hybrid_Finite_Difference_Meshless_Collocation_Method_FDMCM_Bourantas_et_al..docx

zbMATH Keywords

finite difference methodelastostaticsmeshless methodstrong formCartesian grid embeddeddiscretization correction particle strength exchange

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Classical linear elasticity (74B05)

Related Items (7)

New strong formulation for material nonlinear problems based on the particle difference method ⋮ The radial point interpolation mixed collocation method for the solution of transient diffusion problems ⋮ A local gradient smoothing method for solving strong form governing equation ⋮ Simple and robust element-free Galerkin method with almost interpolating shape functions for finite deformation elasticity ⋮ Meshfree numerical approach based on the finite pointset method for static linear elasticity problems ⋮ A meshless generalized finite difference method for 2D elasticity problems ⋮ A strong-form meshfree method for stress analysis of hyperelastic materials

Uses Software

• Matlab
• Mfree2D

Cites Work

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