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 …

State of art on FEM approach in inverse heat transfer problems for different materials

MV Reddy, B Hemasunder, SV Ramana… - Materials Today …, 2023 - Elsevier
The present study investigates the utilisation of the Finite Element Method (FEM) in
addressing Inverse Heat Transfer issues associated with diverse materials. The Finite …

Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics

Y Zhang, S Dang, W Li, Y Chai - Computers & Mathematics with …, 2022 - Elsevier
The radial point interpolation method (RPIM) is combined with the appropriate implicit time
integration technique for transient wave propagation analysis in this work. The dispersion …

Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function

T Sun, P Wang, G Zhang, Y Chai - Computers & Mathematics with …, 2023 - Elsevier
An enriched finite element approach with appropriate enrichment function is proposed for
the transient analyses of wave propagations in nonhomogeneous media. In present method …

A coupled FE-Meshfree triangular element for acoustic radiation problems

W Li, Q Zhang, Q Gui, Y Chai - International Journal of …, 2021 - World Scientific
To improve the accuracy of the standard finite element (FE) solutions for acoustic radiation
computation, this work presents the coupling of a radial point interpolation method (RPIM) …

The extrinsic enriched finite element method with appropriate enrichment functions for the Helmholtz equation

Y Chai, K Huang, S Wang, Z Xiang, G Zhang - Mathematics, 2023 - mdpi.com
The traditional finite element method (FEM) could only provide acceptable numerical
solutions for the Helmholtz equation in the relatively small wave number range due to …

Free and forced vibration analysis of two-dimensional linear elastic solids using the finite element methods enriched by interpolation cover functions

Y Li, S Dang, W Li, Y Chai - Mathematics, 2022 - mdpi.com
In this paper, a novel enriched three-node triangular element with the augmented
interpolation cover functions is proposed based on the original linear triangular element for …

The edge-based smoothed FEM with ρ∞-Bathe implicit temporal discretization scheme for the analyses of underwater wave propagation problems

Y Chai, S Wang, Y Wang, W Li, K Huang, Q Zhang - Ocean Engineering, 2023 - Elsevier
The underwater acoustic wave propagation problem is an important issue in ocean
engineering field. The classical finite element approach with edge-based smoothed gradient …

The meshfree radial point interpolation method (RPIM) for wave propagation dynamics in non-homogeneous media

C Liu, S Min, Y Pang, Y Chai - Mathematics, 2023 - mdpi.com
This work presents a novel simulation approach to couple the meshfree radial point
interpolation method (RPIM) with the implicit direct time integration method for the transient …

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 …