A local radial basis function collocation method for band structure computation of 3D phononic crystals
DOI10.1016/j.apm.2019.09.006zbMath1481.74117OpenAlexW2972381571MaRDI QIDQ1988830
Publication date: 24 April 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.09.006
wave propagationradial basis functionseigenvalue problemsinterface conditionsphononic crystalsband structures
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Structured surfaces and interfaces, coexistent phases (74A50) Crystalline structure (74E15) Statistical mechanics of crystals (82D25)
Related Items (11)
Uses Software
Cites Work
- Unnamed Item
- Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map
- 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
- Radial point interpolation collocation method (RPICM) for partial differential equations
- Meshfree explicit local radial basis function collocation method for diffusion problems
- BEM-based analysis of elastic banded material by using a contour integral method
- Is the Burton-Miller formulation really free of fictitious eigenfrequencies?
- Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method
- Radial basis functions methods for boundary value problems: performance comparison
- 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
- Volumetric locking issue with uncertainty in the design of locally resonant acoustic metamaterials
- A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals
- Wavelet-based method for computing elastic band gaps of one-dimensional phononic crystals
- Convergence problem of plane-wave expansion method for phononic crystals
- Boundary element method for band gap calculations of two-dimensional solid phononic crystals
- Scattered node compact finite difference-type formulas generated from radial basis functions
- 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
- Numerical Methods for Fluid-Structure Interaction — A Review
- A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals
- Bandgap calculation of two-dimensional mixed solid–fluid phononic crystals by Dirichlet-to-Neumann maps
- Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
This page was built for publication: A local radial basis function collocation method for band structure computation of 3D phononic crystals