The analytic form of Green's function in elliptic coordinates

DOI10.1007/s10665-011-9464-6zbMath1254.76129OpenAlexW2031556629MaRDI QIDQ695502

Ioannis K. Chatjigeorgiou, Spyros A. Mavrakos

Publication date: 21 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10665-011-9464-6

zbMATH Keywords

boundary value problemaddition theoremselliptical cylindersinhomogeneous Helmholtz equation

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Cites Work

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• A note on addition theorems for Mathieu functions
• Surface Waves
• The complete second-order diffraction solution for an axisymmetric body Part 1. Monochromatic incident waves
• Second-order wave diffraction by a vertical cylinder
• Wave forces on vertical axisymmetric bodies
• Wave forces on vertical bodies of revolution
• The complete second-order diffraction solution for an axisymmetric body Part 2. Bichromatic incident waves and body motions
• Semi-analytical solution for second-order wave diffraction by a truncated circular cylinder in monochromatic waves
• Second-order interaction of irregular waves with a truncated column

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