Compact RBF meshless methods for photonic crystal modelling
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Publication:550925
DOI10.1016/j.jcp.2011.03.010zbMath1221.82120OpenAlexW1974798585MaRDI QIDQ550925
Publication date: 13 July 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.010
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Related Items (12)
A meshless collocation method for band structure simulation of nanoscale phononic crystals based on nonlocal elasticity theory ⋮ A meshfree local RBF collocation method for anti-plane transverse elastic wave propagation analysis in 2D phononic crystals ⋮ The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods ⋮ Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method ⋮ A finite element method for the band structure computation of photonic crystals with complex scatterer geometry ⋮ An efficient solution for stochastic fractional partial differential equations with additive noise by a meshless method ⋮ Solving an eigenvalue problem on a periodic domain using a radial basis function finite difference scheme ⋮ A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains ⋮ A local radial basis function collocation method for band structure computation of 3D phononic crystals ⋮ Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations ⋮ Nonlinear elastic-plastic analysis of reinforced concrete column-steel beam connection by RBF-FD method ⋮ A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry
Cites Work
- Unnamed Item
- Unnamed Item
- Solving an eigenvalue problem with a periodic domain using radial basis functions
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids
- A note on the Gibbs phenomenon with multiquadric radial basis functions
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- An efficient method for band structure calculations in 2D photonic crystals
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- An efficient finite element method for computing spectra of photonic and acoustic band-gap materials. I: Scalar case
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
- A least-squares preconditioner for radial basis functions collocation methods
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Compactly supported positive definite radial functions
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- A meshfree weak-strong (MWS) form method for time-dependent problems
- Domain decomposition for time-dependent problems using radial based meshless methods
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Element‐free Galerkin methods
- A new class of radial basis functions with compact support
- Reproducing kernel particle methods
- Floquet theory for partial differential equations
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