A note on quasiperiodic Green's functions for arrays

DOI10.1007/s10665-015-9809-7zbMath1358.35020OpenAlexW1434035748MaRDI QIDQ519038

Yong-Cai Geng, Sumit K. Garg

Publication date: 4 April 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-015-9809-7

zbMATH Keywords

latticesarraysgratingsquasiperiodic Green's function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Uses Software

• DLMF

Cites Work

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• Recursive Computation of Certain Integrals
• Computation of Exponential Integrals
• Wave diffraction by a long array of cylinders
• Periodic structures in waveguides
• Flexural wave filtering and platonic polarisers in thin elastic plates
• Linear wave forcing of an array of axisymmetric ice floes
• A new acceleration technique with exponential convergence rate to evaluate periodic Green functions
• Quasi-periodic Green's functions of the Helmholtz and Laplace equations

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