A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory
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Publication:2123333
DOI10.1016/j.jcp.2020.109268OpenAlexW2999755698WikidataQ126342627 ScholiaQ126342627MaRDI QIDQ2123333
Dong-Jia Yan, Hui Zheng, Yue-Sheng Wang, Chuanbing Zhou, Chuan-Zeng Zhang
Publication date: 8 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109268
radial basis functionselastic wavesnonlocal elasticity theoryband structuresnanoscale phononic crystals
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Uses Software
Cites Work
- Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map
- The golden section search algorithm for finding a good shape parameter for meshless collocation methods
- Compact RBF meshless methods for photonic crystal modelling
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs
- Meshfree explicit local radial basis function collocation method for diffusion problems
- Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method
- Bandgap calculations of two-dimensional solid-fluid phononic crystals with the boundary element method
- A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
- A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals
- A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics
- Fictitious eigenfrequencies in the BEM for interior acoustic problems
- Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals
- Convergence problem of plane-wave expansion method for phononic crystals
- On nonlocal elasticity
- Scattered node compact finite difference-type formulas generated from radial basis functions
- Nonlocal Continuum Field Theories
- Meshless local radial basis function collocation method for convective‐diffusive solid‐liquid phase change problems
- Application of the generalized multipole technique in band structure calculation of two‐dimensional solid/fluid phononic crystals
- A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals
- Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains
- Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities
- A Meshless Discrete Galerkin Method Based on the Free Shape Parameter Radial Basis Functions for Solving Hammerstein Integral Equation
- Coupled FE–BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain
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