Evaluation of the transient performance of magneto-electro-elastic based structures with the enriched finite element method

L Zhou, J Wang, M Liu, M Li, Y Chai - Composite Structures, 2022 - Elsevier
For this evaluation, we employ the enriched finite element method (EFEM) which enhance
the finite element procedure with the interpolation cover functions to solve the transient …

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 …

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 …

The enriched quadrilateral overlap** 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 …

A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading

W Qu, H He - Applied Mathematics Letters, 2022 - Elsevier
This work proposes a meshless generalized finite difference method (GFDM) with
supplementary nodes for the solution of thin elastic plate bending under dynamic loading …

Physics-informed neural networks for analysis of 2D thin-walled structures

Y Gu, C Zhang, MV Golub - Engineering Analysis with Boundary Elements, 2022 - Elsevier
Thin-walled structural problems have been a longstanding computational challenge. The
research bottleneck in applying the standard numerical methods for such problems arises …

[HTML][HTML] 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 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 …

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 …

A meshless method based on the generalized finite difference method for three-dimensional elliptic interface problems

Q Qin, L Song, F Liu - Computers & Mathematics with Applications, 2023 - Elsevier
This article presents a meshless method to solve three-dimensional elliptic interface
problem. The method is based on the generalized finite difference method, which expresses …