A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis

L Sun, Z Fu, Z Chen - Applied Mathematics and Computation, 2023 - Elsevier
This paper presents the localized collocation solver based on fundamental solutions to 3D
elastic wave propagation analysis. In the proposed collocation solver, the approximated …

Analysis of the band structure of transient in-plane elastic waves based on the localized radial basis function collocation method

X Yan, H Zheng, D Yan - Applied Mathematical Modelling, 2024 - Elsevier
In this paper, the localized radial basis function collocation method is applied to investigate
the in-plane elastic wave propagation of 2D phononic crystals. The direct method with local …

声光子晶体带隙特性与声光耦合作用研究综述

马天雪, 苏晓星, 董浩文, 汪越胜, 张传增 - 力学学报, 2017 - lxxb.cstam.org.cn
声光子晶体是一种同时具有光子和声子带隙的周期性结构. 声光子晶体为同时控制电磁波和弹性
波的传播提供了一个系统的平台, 并在光学, 声学及声光多功能器件, 腔光力学等领域展现了十分 …

[HTML][HTML] A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry

H Zheng, Z Yang, C Zhang, M Tyrer - Applied Mathematical Modelling, 2018 - Elsevier
A numerical algorithm based on the local radial basis function collocation method
(LRBFCM) is developed to efficiently compute the derivatives of primary field quantities …

Automated design of phononic crystals under thermoelastic wave propagation through deep reinforcement learning

A Maghami, SM Hosseini - Engineering Structures, 2022 - Elsevier
This article presents a novel concept of deep reinforcement learning (DRL) to facilitate the
reverse design of layered phononic crystal (PC) beams with anticipated band structures …

A stabilized local RBF collocation method for incompressible Navier–Stokes equations

P Jiang, H Zheng, J Xiong, C Zhang - Computers & Fluids, 2023 - Elsevier
In this work, a stabilized local radial basis function (RBF) collocation method (LRBFCM) is
proposed to solve the incompressible Navier–Stokes equations. An improved back ground …

An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals

E Li, ZC He, G Wang, GR Liu - Computer Methods in Applied Mechanics …, 2018 - Elsevier
The paper presents an efficient and accurate algorithm to analyze the fluid/solid and
solid/fluid phononic crystals (PCs) with fluid structure interaction (FSI). In the proposed mass …

A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory

H Zheng, C Zhou, DJ Yan, YS Wang… - Journal of Computational …, 2020 - Elsevier
In this paper, the band structures of nanoscale phononic crystals based on the nonlocal
elasticity theory are calculated by using a meshfree local radial basis function collocation …

[HTML][HTML] A local radial basis function collocation method for band structure computation of 3D phononic crystals

H Zheng, C Zhang, Z Yang - Applied Mathematical Modelling, 2020 - Elsevier
In this paper, we further extend the local radial basis function collocation method (LRBFCM)
for efficient computation of band structures of phononic crystals from 2D to 3D. The proposed …

The local radial basis function collocation method for elastic wave propagation analysis in 2D composite plate

CZ Shi, H Zheng, PH Wen, YC Hon - Engineering Analysis with Boundary …, 2023 - Elsevier
In this paper, the local radial basis function collocation method (LRBFCM) is applied to
simulate the in-plane elastic wave propagation in composite plate. In order to reduce the …