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 …

[图书][B] Smoothed point interpolation methods: G space theory and weakened weak forms

GR Liu, G Zhang - 2013 - books.google.com
Based on the widely used finite element method (FEM) and the latest Meshfree methods, a
next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) …

Hybrid smoothed finite element method for two-dimensional underwater acoustic scattering problems

Y Chai, W Li, Z Gong, T Li - Ocean Engineering, 2016 - Elsevier
It is well known that the standard finite element method (FEM) is unreliable to solve acoustic
problems governed by the Helmholtz equation with large wave numbers due to the “overly …

Hybrid smoothed finite element method for acoustic problems

E Li, ZC He, X Xu, GR Liu - Computer Methods in Applied Mechanics and …, 2015 - Elsevier
It is well known that “overly-stiff” finite element (FE) model fails to provide accurate results to
the Helmholtz equation with large wave numbers due to the well-known “pollution error” …

Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM)

W Li, Y Chai, M Lei, GR Liu - Engineering Analysis with Boundary …, 2014 - Elsevier
The smoothed finite element method (S-FEM) developed recently shows great efficiency in
solving solid mechanics and acoustics problems. In this paper, coupled structural-acoustic …

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 …

Numerical investigation of the edge-based gradient smoothing technique for exterior Helmholtz equation in two dimensions

W Li, Y Chai, M Lei, T Li - Computers & Structures, 2017 - Elsevier
In order to improve the accuracy of the standard finite element method (FEM) solutions for
Helmholtz equation and reduce the numerical error, an edge-based gradient smoothing …

A coupled smoothed finite element method (S-FEM) for structural-acoustic analysis of shells

G Wang, XY Cui, ZM Liang, GY Li - Engineering Analysis with Boundary …, 2015 - Elsevier
In this paper, a coupled smoothed finite element method (S-FEM) is developed to deal with
the structural-acoustic problems consisting of a shell configuration interacting with the fluid …

A smoothed finite element method for exterior Helmholtz equation in two dimensions

Y Chai, Z Gong, W Li, T Li, Q Zhang - Engineering Analysis with Boundary …, 2017 - Elsevier
In this work, a smoothed finite element method (SFEM), in which the gradient smoothing
technique (GST) from meshfree methods is incorporated into the standard Galerkin …