Wavelet-based numerical analysis: A review and classification

B Li, X Chen - Finite Elements in Analysis and Design, 2014 - Elsevier
Wavelet analysis is a new method called 'numerical microscope'in signal and image
processing. It has the desirable advantages of multi-resolution properties and various basis …

Analysis of laminated composite plates using wavelet finite element method and higher-order plate theory

H Zuo, Z Yang, X Chen, Y **e, H Miao - Composite structures, 2015 - Elsevier
This paper presents an application of wavelet finite element method adopting B-spline
wavelet on the interval to investigate static and free vibration problems of laminated …

Mid-frequency vibration analysis of built-up structures using WFE-SEA method

Z Sun, G **, S Li, T Ye, Y Chen, J Yuan - International Journal of …, 2024 - Elsevier
The idea of classifying built-up structures into hybrid deterministic-statistical subsystems is
formed as a framework to deal with the dynamical response in the mid-frequency region …

Unified wavelet finite element formulation for static and vibration analysis of laminated composite shells

H Zuo, Y Chen, F Jia, Z Yang - Composite structures, 2021 - Elsevier
This study presents, for the first time, a unified wavelet finite element formulation for static
and free vibration analysis of laminated composite shells, combining the wavelet finite …

Multiresolution Daubechies finite wavelet domain method for transient dynamic wave analysis in elastic solids

CV Nastos, DA Saravanos - International Journal for Numerical …, 2021 - Wiley Online Library
The multiresolution capability provided by the family of Daubechies wavelets is exploited to
develop a new computational approach, termed as multiresolution finite wavelet domain …

Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams

DK Dimitriou, CV Nastos, DA Saravanos - Wave Motion, 2022 - Elsevier
A Multiresolution finite wavelet domain meshless approach is presented for the simulation of
guided waves in composite beams. The Daubechies wavelet and scaling functions are both …

A hierarchical wavelet method for nonlinear bending of materially and geometrically anisotropic thin plate

Q Yu - Communications in Nonlinear Science and Numerical …, 2021 - Elsevier
The paper aims at the application of a hierarchical wavelet homotopy methodology for
solving nonlinear bending of anisotropic thin plates. The newly mechanical models of …

Interior three-dimensional acoustic modeling and modal analysis using wavelet-based finite-element approach

Z Sun, G **, T Ye, Y Chen, K Song - The Journal of the Acoustical …, 2024 - pubs.aip.org
This paper introduces two-dimensional (2D) and 3D acoustic modeling and modal analysis
using the wavelet finite-element method (WFEM). Governed by the Helmholtz equation, the …

[HTML][HTML] Nonlinear dynamic pulse buckling of imperfect laminated composite plate with delamination

S Mondal, LS Ramachandra - International Journal of Solids and Structures, 2020 - Elsevier
The nonlinear dynamic pulse buckling of imperfect composite plate with embedded
delamination is investigated numerically in this article. The dynamic buckling load is …

[HTML][HTML] Hermitian plane wavelet finite element method: Wave propagation and load identification

X Xue, X Chen, X Zhang, B Qiao - Computers & Mathematics with …, 2016 - Elsevier
The two-dimensional Hermitian interpolation wavelet is constructed by using the tensor
product of the modified Hermitian wavelets expanded at each coordinate. Then the two …