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 …

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 …

Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions

Y Chai, W Li, Z Liu - Applied Mathematics and Computation, 2022 - Elsevier
To improve the performance of the low-order linear triangular element for solving transient
wave propagation problems, this paper presents a novel enriched finite element method …

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 …

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 …

The enriched quadrilateral overlapping 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 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 …

A truly meshfree method for solving acoustic problems using local weak form and radial basis functions

X You, W Li, Y Chai - Applied Mathematics and Computation, 2020 - Elsevier
It has been known that numerical solutions to Helmholtz problems obtained using several
numerical methodologies (eg finite element approach) are always plagued by the pollution …