An efficient hybrid collocation scheme for vibro-acoustic analysis of the underwater functionally graded structures in the shallow ocean

Q ** finite elements for time-harmonic acoustics
Q Gui, W Li, Y Chai - Applied Mathematics and Computation, 2023 - Elsevier
The pronounced numerical dispersions and numerical anisotropy make solutions from the
finite element model using low-order elements unreliable for the time-harmonic acoustic …

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

Y Chai, K Huang, S Wang, Z **ang, 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 …

Analysis of underwater acoustic propagation induced by structural vibration in arctic ocean environment based on hybrid FEM-WSM solver

Q **, Z Fu, MA Xue, M Zou, J Zheng - Ocean Engineering, 2023 - Elsevier
This paper investigates the underwater acoustic propagation characteristics induced by
structural vibrations in the arctic ocean environment. For this purpose, a hybrid solver based …

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 …

A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations

L Qiu, X Ma, QH Qin - Applied Mathematics Letters, 2023 - Elsevier
In this work, a spatio-temporal homogenization function method is proposed for resolving
one-dimensional fourth-order fractional diffusion-wave equations (FDWEs). A …

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 …

Numerical analysis of heat transfer in mass concrete embedded with multi-pipes via a fast double-layer model based on generalized finite difference method

Y Hong, J Lin, A Chang - International Communications in Heat and Mass …, 2024 - Elsevier
In simulation of the concrete pipe cooling process, numerical algorithms usually encounter
difficulties involving the large-scale ratio, adaptive point strategy, and large-scale …

Meshless generalized finite difference method for two-and three-dimensional transient elastodynamic analysis

W Sun, W Qu, Y Gu, S Zhao - Engineering Analysis with Boundary …, 2023 - Elsevier
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 …

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 …