Element integral approach for water waves

DOI10.1016/0045-7930(81)90024-4zbMath0489.76021OpenAlexW2013450808MaRDI QIDQ1167005

Franco Mattioli

Publication date: 1981

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(81)90024-4

zbMATH Keywords

boundary element methodHelmholtz equationbanded matricessubdomainswave-induced oscillations of inland harbours

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fredholm integral equations (45B05) Basic methods in fluid mechanics (76M99) Variational principles of physics (49S05)

Related Items (2)

On the possibility of extracting power from resonant harbour oscillations ⋮ A finite-element series-expansion technique for linear surface water waves

Cites Work

• A partition technique for the solution of potential flow problems by integral equation methods
• Febie - a combined finite element-boundary integral equation method
• Wave-induced oscillations in harbours of variable depth
• Response of Coastal harbours
• Numerical instabilities of the integral approach to the interior boundary-value problem for the two-dimensional Helmholtz equation
• A review of least‐squares methods for solving partial differential equations
• The coupling of the finite element method and boundary solution procedures
• Diffraction and refraction of surface waves using finite and infinite elements
• A hybrid element method for diffraction of water waves by three‐dimensional bodies
• Gravity wave refraction by islands
• Wave-induced oscillations in harbours of arbitrary geometry
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