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 …

A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element

M Liu, G Gao, H Zhu, C Jiang, G Liu - Engineering Analysis with Boundary …, 2021 - Elsevier
Smoothed finite element method (S-FEM) has attracted lots of attentions in the fields of
computational mechanics, especially in solid mechanics and heat transfer problems. In …

Application of smoothed finite element method to two-dimensional exterior problems of acoustic radiation

Y Chai, Z Gong, W Li, T Li, Q Zhang… - International Journal of …, 2018 - World Scientific
In this work, the smoothed finite element method using four-node quadrilateral elements
(SFEM-Q4) is employed to resolve underwater acoustic radiation problems. The SFEM-Q4 …

Unified three-dimensional finite elements for large strain analysis of compressible and nearly incompressible solids

A Pagani, P Chiaia, M Filippi… - Mechanics of Advanced …, 2024 - Taylor & Francis
This work proposes a displacement-based finite element model for large strain analysis of
isotropic compressible and nearly-incompressible hyperelastic materials. Constitutive law is …

A cell‐based smoothed finite element method with semi‐implicit CBS procedures for incompressible laminar viscous flows

C Jiang, ZQ Zhang, X Han, G Liu… - International Journal for …, 2018 - Wiley Online Library
In this paper, the cell‐based smoothed finite element method (CS‐FEM) with the semi‐
implicit characteristic‐based split (CBS) scheme (CBS/CS‐FEM) is proposed for …

The stable node-based smoothed finite element method for analyzing acoustic radiation problems

X Hu, X Cui, Q Zhang, G Wang, G Li - Engineering Analysis with Boundary …, 2017 - Elsevier
In this paper, the stable node-based smoothed finite element method (SNS-FEM) and the
well-known Dirichlet-to-Neumann (DtN) boundary condition are coupled together to reduce …

A selective smoothed finite element method with visco‐hyperelastic constitutive model for analysis of biomechanical responses of brain tissues

SW Wu, C Jiang, C Jiang, GR Liu - International Journal for …, 2020 - Wiley Online Library
Brain tissues are known for exhibiting complex nonlinear and time‐dependent properties,
which require visco‐hyperelastic constitutive models for proper simulation. In this paper, a …

A sharp-interface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids

C Jiang, JY Yao, ZQ Zhang, GJ Gao, GR Liu - Computer Methods in …, 2018 - Elsevier
A sharp-interface algorithm developed for immersed smoothed finite element method (Sharp-
ISFEM) is proposed for fluid–structure interaction (FSI) problems. In Sharp-ISFEM, a line …

A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/Fractional step method for incompressible flow

M Liu, G Gao, H Zhu, C Jiang - Engineering Analysis with Boundary …, 2021 - Elsevier
In this paper, the exhaustive usage and implementation of Streamline-Upwind/Petrov-
Galerkin method combining with Stabilized Pressure Gradient Projection (SUPG/SPGP) for …