Explicit Representation for the Infinite-Depth Two-Dimensional Free-Surface Green's Function in Linear Water-Wave Theory

DOI10.1137/090764591zbMath1221.31002OpenAlexW2064392324MaRDI QIDQ5392315

Jean-Claude Nédélec, Mario Durán, Ricardo Hein

Publication date: 8 April 2011

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090764591

zbMATH Keywords

boundary element methodboundary integral equationGreen functionhalf-planewater-wave problem

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Linear waves in solid mechanics (74J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (3)

FEM SUPG stabilisation of mixed isoparametric BEMs: application to linearised free surface flows ⋮ Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition ⋮ The Green function for diffraction and radiation of regular waves by two-dimensional structures

Uses Software

• NSWC

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