Singular boundary method: A review and computer implementation aspects
This paper presents an overview of the singular boundary method (SBM) and its various
engineering applications. The basic concepts of the singular boundary method are first …
engineering applications. The basic concepts of the singular boundary method are first …
Numerical investigation of the element-free Galerkin method (EFGM) with appropriate temporal discretization techniques for transient wave propagation problems
Y Li, C Liu, W Li, Y Chai - Applied Mathematics and Computation, 2023 - Elsevier
In the earlier paper, it is known that the solution accuracy usually can not be monotonically
increased as the temporal discretization interval decreases when the standard finite element …
increased as the temporal discretization interval decreases when the standard finite element …
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 …
solutions for the Helmholtz equation in the relatively small wave number range due to …
Numerical simulation of anti-plane wave propagation in heterogeneous media
X Wei, C Rao, S Chen, W Luo - Applied Mathematics Letters, 2023 - Elsevier
This paper formulates a semi-analytical boundary meshless method, the singular boundary
method (SBM), to simulate the anti-plane wave motion in the heterogeneous media. Two …
method (SBM), to simulate the anti-plane wave motion in the heterogeneous media. Two …
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 …
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 …
interpolation method (RPIM) with the implicit direct time integration method for the transient …
Meshless generalized finite difference method for two-and three-dimensional transient elastodynamic analysis
In this paper, a meshless collocation method is introduced for two-dimensional (2D) and
three-dimensional (3D) transient elastodynamic problems by applying the generalized finite …
three-dimensional (3D) transient elastodynamic problems by applying the generalized finite …
A novel semi-analytical meshless method for the thickness optimization of porous material distributed on sound barriers
H Liu, F Wang - Applied Mathematics Letters, 2024 - Elsevier
This paper presents a novel semi-analytical meshless method to optimize the thickness of
porous material distributed on sound barriers, by employing the Burton–Miller-type singular …
porous material distributed on sound barriers, by employing the Burton–Miller-type singular …
Improved modal analyses using the novel quadrilateral overlapping elements
Q Gui, W Li, Y Chai - Computers & Mathematics with Applications, 2024 - Elsevier
In this work, the novel quadrilateral overlapping element incorporated with the harmonic
trigonometric functions is presented to reduce the efforts in mesh division for modal analysis …
trigonometric functions is presented to reduce the efforts in mesh division for modal analysis …
A singular boundary method for transient coupled dynamic thermoelastic analysis
L Sun, Q Zhang, Z Chen, X Wei - Computers & Mathematics with …, 2024 - Elsevier
In this study, a singular boundary method (SBM) formulation is developed for the transient
coupled dynamic thermoelastic problems. Before applying the SBM, a method based on …
coupled dynamic thermoelastic problems. Before applying the SBM, a method based on …