Smoothed finite element methods (S-FEM): an overview and recent developments

W Zeng, GR Liu - Archives of Computational Methods in Engineering, 2018 - Springer
The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired solutions

GR Liu - Frontiers of structural and civil engineering, 2019 - Springer
The smoothed finite element method (S-FEM) was originated by GR Liu by combining some
meshfree techniques with the well-established standard finite element method (FEM). It has …

The magneto-electro-elastic multi-physics coupling element free Galerkin method for smart structures in statics and dynamics problems

L Zhou, J Wang, X Li, C Liu, P Liu, S Ren, M Li - Thin-Walled Structures, 2021 - Elsevier
To solve the problem of over-stiffness and the imprecise magneto-electro-elastic coupling
effects of finite element model, we presented the element free Galerkin model to more …

Application of the edge-based gradient smoothing technique to acoustic radiation and acoustic scattering from rigid and elastic structures in two dimensions

Y Chai, X You, W Li, Y Huang, Z Yue, M Wang - Computers & Structures, 2018 - Elsevier
As is well-known to all, the conventional finite element method (FEM) is constrained by the
“numerical dispersion error” issue for solving acoustic problems at high frequencies. In this …

Stable node-based smoothed radial point interpolation method for the dynamic analysis of the hygro-thermo-magneto-electro-elastic coupling problem

B Nie, G Meng, S Ren, J Wang, Z Ren, L Zhou… - … Analysis with Boundary …, 2022 - Elsevier
In the current work, the stable node-based smoothed radial point interpolation method (SNS-
RPIM) was used to investigate the dynamic responses of magneto-electro-elastic (MEE) …

[HTML][HTML] Hybrid gradient smoothing technique with discrete shear gap method for shell structures

W Li, ZX Gong, YB Chai, C Cheng, TY Li… - … & Mathematics with …, 2017 - Elsevier
In order to enhance the performance of the discrete shear gap technique (DSG) for shell
structures, the coupling of hybrid gradient smoothing technique (H-GST) with DSG using …

Modeling fluid–structure interaction with the edge-based smoothed finite element method

T He - Journal of Computational Physics, 2022 - Elsevier
We address in this work the numerical modeling of fluid–structure interaction (FSI) with the
edge-based smoothed finite element method (ESFEM). We prove that the smoothed …

An efficient and accurate numerical method for the heat conduction problems of thermal metamaterials based on edge-based smoothed finite element method

KX Wang, EL Zhou, BL Wei, Y Wu, G Wang - Engineering Analysis with …, 2022 - Elsevier
Thermal metamaterials are a class of artificial composite structures with special thermal
conduction properties. Due to the existence of complex multi-phase materials arrangement …

Numerical homogenization for incompressible materials using selective smoothed finite element method

E Li, Z Zhang, CC Chang, GR Liu, Q Li - Composite Structures, 2015 - Elsevier
Composite materials with periodic microstructures are commonly used in engineering.
Numerical homogenization with finite element method (FEM) has proven fairly effective to …

Smoothed finite element method with exact solutions in heat transfer problems

E Li, Z Zhang, ZC He, X Xu, GR Liu, Q Li - International Journal of Heat and …, 2014 - Elsevier
Node-based smoothed finite element method (NS-FEM) with the triangular elements in 2D
and tetrahedral elements in 3D has been found capable to produce upper bound solutions …