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

A numerical algorithm based on the local radial basis function collocation method (LRBFCM) is developed to efficiently compute the derivatives of primary field quantities. Instead of a direct calculation of the derivatives by partial differentiation of the shape functions as in traditional numerical...

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Bibliographic Details
Published in:	Applied Mathematical Modelling Vol. 60; p. 447
Main Authors:	Zheng, H, Yang, Z, Zhang, Ch, Tyrer, M
Format:	Journal Article
Language:	English
Published:	New York Elsevier BV 01.08.2018
Subjects:	Algorithms Band structure Basis functions Collocation methods Computation Crystals Derivatives Eigenvalues Elastic waves Finite difference method Finite element method Geometry Mathematical analysis Mathematical models Numerical analysis Propagation Radial basis function Shape functions Wave propagation
ISSN:	1088-8691, 0307-904X
Online Access:	Get full text
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